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Journal articles on the topic 'Weyl structures'

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Published: 22 October 2022

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1

HiricĂ, Iulia Elena, and Liviu Nicolescu. "On Weyl structures." Rendiconti del Circolo Matematico di Palermo 53, no. 3 (October 2004): 390–400. http://dx.doi.org/10.1007/bf02875731.

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2

Ohkubo, Takaaki, and Kunio Sakamoto. "CR Einstein-Weyl structures." Tsukuba Journal of Mathematics 29, no. 2 (December 2005): 309–61. http://dx.doi.org/10.21099/tkbjm/1496164961.

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3

Kim, Jong-Su. "R-CRITICAL WEYL STRUCTURES." Journal of the Korean Mathematical Society 39, no. 2 (March 1, 2002): 193–203. http://dx.doi.org/10.4134/jkms.2002.39.2.193.

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4

Čap, Andreas, and Jan Slovák. "Weyl structures for parabolic geometries." MATHEMATICA SCANDINAVICA 93, no. 1 (September 1, 2003): 53. http://dx.doi.org/10.7146/math.scand.a-14413.

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Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures and preferred connections are introduced in this general framework. In particular, we extend the notions of scales, closed and exact Weyl connections, and Rho-tensors, we characterize the classes of such objects, and we use the results to give a new description of the Cartan bundles and connections for all parabolic geometries.
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5

Matzeu, Paola. "Almost contact Einstein-Weyl structures." manuscripta mathematica 108, no. 3 (July 1, 2002): 275–88. http://dx.doi.org/10.1007/s002290200262.

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6

KATAGIRI, Minyo. "On Deformations of Einstein-Weyl Structures." Tokyo Journal of Mathematics 21, no. 2 (December 1998): 457–61. http://dx.doi.org/10.3836/tjm/1270041826.

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7

Gilkey, Peter, and Stana Nikcevic. "4-dimensional (para)-Kähler-Weyl structures." Publications de l'Institut Math?matique (Belgrade) 94, no. 108 (2013): 91–98. http://dx.doi.org/10.2298/pim1308091g.

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We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kahler-Weyl structure. We then use analytic continuation to pass from the para-complex to the complex setting and thereby show that any 4-dimensional pseudo-Hermitian manifold also admits a unique Kahler-Weyl structure.
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8

Alexandrov, B., and S. Ivanov. "Weyl structures with positive Ricci tensor." Differential Geometry and its Applications 18, no. 3 (May 2003): 343–50. http://dx.doi.org/10.1016/s0926-2245(03)00010-x.

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9

Tod, K. P. "Compact 3-Dimensional Einstein-Weyl Structures." Journal of the London Mathematical Society s2-45, no. 2 (April 1992): 341–51. http://dx.doi.org/10.1112/jlms/s2-45.2.341.

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10

Bonneau, Guy. "Einstein-Weyl structures and Bianchi metrics." Classical and Quantum Gravity 15, no. 8 (August 1, 1998): 2415–25. http://dx.doi.org/10.1088/0264-9381/15/8/019.

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11

BEJAN, CORNELIA-LIVIA, and NOVAC-CLAUDIU CHIRIAC. "WEYL STRUCTURES ON ALMOST PARACONTACT MANIFOLDS." International Journal of Geometric Methods in Modern Physics 10, no. 01 (November 15, 2012): 1220019. http://dx.doi.org/10.1142/s0219887812200198.

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We introduce a new covariant differential A∇ adapted to an almost paracontact structure. We prove its relation with a Weyl structure and give some necessary and sufficient conditions for its harmonicity. We also characterize the P-Sasakian condition in terms of A∇.
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12

Brozos-Vázquez, M., E. García-Río, P. Gilkey, and R. Vázquez-Lorenzo. "Homogeneous 4-Dimensional Kähler–Weyl Structures." Results in Mathematics 64, no. 3-4 (May 26, 2013): 357–69. http://dx.doi.org/10.1007/s00025-013-0319-5.

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13

Ajeti, Musa, Marta Teofilova, and Georgi Zlatanov. "Odd-dimensional Weyl and pseudo-Weyl spaces with additional tensor structures." Filomat 31, no. 6 (2017): 1709–19. http://dx.doi.org/10.2298/fil1706709a.

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14

Chen, Xiaomin. "Einstein-Weyl structures on trans-Sasakian manifolds." Mathematica Slovaca 69, no. 6 (December 18, 2019): 1425–36. http://dx.doi.org/10.1515/ms-2017-0319.

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Abstract In this article we study Einstein-Weyl structures on a 3-dimensional trans-Sasakian manifold M of type (α, β). First, we prove that a 3-dimensional trans-Sasakian manifold admitting both Einstein-Weyl structures W± = (g, ±θ) is Einstein, or is homothetic to a Sasakian manifold if α ≠ 0. Next for β ≠ 0 it is proved that M is Einstein, or is homothetic to an f-Kenmotsu manifold if it admits an Einstein-Weyl structure W = (g, κη) for some nonzero constant κ. Finally, a classification is obtained when a trans-Sasakian manifold admits a closed Einstein-Weyl structure. Further, if M is compact we also obtain two corollaries.
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15

Ichiyama, Toshiyuki. "The first variation formula for Weyl structures." Tsukuba Journal of Mathematics 26, no. 1 (June 2002): 171–87. http://dx.doi.org/10.21099/tkbjm/1496164388.

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16

Moroianu, Andrei. "Structures de Weyl admettant des spineurs parallèles." Bulletin de la Société mathématique de France 124, no. 4 (1996): 685–95. http://dx.doi.org/10.24033/bsmf.2296.

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17

METTLER, THOMAS. "Weyl metrisability of two-dimensional projective structures." Mathematical Proceedings of the Cambridge Philosophical Society 156, no. 1 (September 19, 2013): 99–113. http://dx.doi.org/10.1017/s0305004113000522.

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AbstractWe show that on a surface locally every affine torsion-free connection is projectively equivalent to a Weyl connection. First, this is done using exterior differential system theory. Second, this is done by showing that the solutions of the relevant PDE are in one-to-one correspondence with the sections of the ‘twistor’ bundle of conformal inner products having holomorphic image. The second solution allows to use standard results in algebraic geometry to show that the Weyl connections on the two-sphere whose geodesics are the great circles are in one-to-one correspondence with the smooth quadrics without real points in the complex projective plane.
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18

Ivanov, S. "Einstein-Weyl structures on compact conformal manifolds." Quarterly Journal of Mathematics 50, no. 200 (December 1, 1999): 457–62. http://dx.doi.org/10.1093/qjmath/50.200.457.

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19

Gutowski, Jan B., Alberto Palomo-Lozano, and W. A. Sabra. "Einstein–Weyl structures and de Sitter supergravity." Classical and Quantum Gravity 29, no. 10 (May 2, 2012): 105006. http://dx.doi.org/10.1088/0264-9381/29/10/105006.

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20

Chen, Xiaomin. "Einstein–Weyl structures on almost cosymplectic manifolds." Periodica Mathematica Hungarica 79, no. 2 (January 17, 2019): 191–203. http://dx.doi.org/10.1007/s10998-018-00279-6.

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21

Gauduchon, Paul, and Andrei Moroianu. "Weyl–Einstein structures on K-contact manifolds." Geometriae Dedicata 189, no. 1 (February 3, 2017): 177–84. http://dx.doi.org/10.1007/s10711-017-0223-3.

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22

Ghosh, Amalendu. "Einstein–Weyl structures on contact metric manifolds." Annals of Global Analysis and Geometry 35, no. 4 (December 3, 2008): 431–41. http://dx.doi.org/10.1007/s10455-008-9145-5.

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23

Narita, Fumio. "Einstein-Weyl structures on almost contact metric manifolds." Tsukuba Journal of Mathematics 22, no. 1 (June 1998): 87–98. http://dx.doi.org/10.21099/tkbjm/1496163471.

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24

Bonneau, Guy. "Cohomogeneity-one Einstein–Weyl structures: a local approach." Journal of Geometry and Physics 39, no. 2 (August 2001): 135–73. http://dx.doi.org/10.1016/s0393-0440(01)00008-0.

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25

Godliński, Michał, and Paweł Nurowski. "On three-dimensional Weyl structures with reduced holonomy." Classical and Quantum Gravity 23, no. 3 (January 10, 2006): 603–8. http://dx.doi.org/10.1088/0264-9381/23/3/003.

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26

Kruglikov, Boris, and Eivind Schneider. "Differential invariants of Einstein–Weyl structures in 3D." Journal of Geometry and Physics 131 (September 2018): 160–69. http://dx.doi.org/10.1016/j.geomphys.2018.05.011.

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27

Matzeu, Paola. "Closed Einstein–Weyl structures on compact Sasakian and cosymplectic manifolds." Proceedings of the Edinburgh Mathematical Society 54, no. 1 (November 11, 2010): 149–60. http://dx.doi.org/10.1017/s0013091509000807.

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AbstractWe study closed Einstein–Weyl structures on compact K-contact, Sasakian and cosymplectic manifolds. In particular we prove that compact Sasakian and cosymplectic manifolds endowed with a closed Einstein–Weyl structure are η-Einstein.
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28

Blaga, Adara M., and Antonella Nannicini. "On Statistical and Semi-Weyl Manifolds Admitting Torsion." Mathematics 10, no. 6 (March 19, 2022): 990. http://dx.doi.org/10.3390/math10060990.

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We introduce the concept of quasi-semi-Weyl structure, we provide a couple of ways for constructing quasi-statistical and quasi-semi-Weyl structures by means of a pseudo-Riemannian metric, an affine connection and a tensor field on a smooth manifold, and we place these structures in relation with one another.
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29

Yue, Xiaoqing, Qifen Jiang, and Bin Xin. "Quantization of Lie Algebras of Generalized Weyl Type." Algebra Colloquium 16, no. 03 (September 2009): 437–48. http://dx.doi.org/10.1142/s100538670900042x.

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Recently, in [25], Lie bialgebra structures on Lie algebras of generalized Weyl type were considered, which are shown to be triangular coboundary. In this paper, we quantize these algebras with their Lie bialgebra structures.
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30

Goikoetxea, Joseba, Jorge Bravo-Abad, and Jaime Merino. "Generating Weyl nodes in non-centrosymmetric cubic crystal structures." Journal of Physics Communications 4, no. 6 (June 8, 2020): 065006. http://dx.doi.org/10.1088/2399-6528/ab983c.

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31

Hörmann, Günther. "Regular Weyl-Systems and Smooth Structures on Heisenberg Groups." Communications in Mathematical Physics 184, no. 1 (March 1, 1997): 51–63. http://dx.doi.org/10.1007/s002200050052.

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32

Gauduchon, Paul, and Andrei Moroianu. "Erratum to: Weyl–Einstein structures on K-contact manifolds." Geometriae Dedicata 190, no. 1 (March 28, 2017): 201–3. http://dx.doi.org/10.1007/s10711-017-0238-9.

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33

Bogdanov, Leonid V. "Dispersionless BKP Equation, the Manakov–Santini System and Einstein–Weyl Structures." Symmetry 13, no. 9 (September 15, 2021): 1699. http://dx.doi.org/10.3390/sym13091699.

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We construct a map from solutions of the dispersionless BKP (dBKP) equation to solutions of the Manakov–Santini (MS) system. This map defines an Einstein–Weyl structure corresponding to the dBKP equation through the general Lorentzian Einstein–Weyl structure corresponding to the MS system. We give a spectral characterisation of reduction in the MS system, which singles out the image of the dBKP equation solution, and also consider more general reductions of this class. We define the BMS system and extend the map defined above to the map (Miura transformation) of solutions of the BMS system to solutions of the MS system, thus obtaining an Einstein–Weyl structure for the BMS system.
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34

DUNAJSKI, MACIEJ, and WOJCIECH KRYŃSKI. "Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs." Mathematical Proceedings of the Cambridge Philosophical Society 157, no. 1 (April 24, 2014): 139–50. http://dx.doi.org/10.1017/s0305004114000164.

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AbstractWe exploit the correspondence between the three–dimensional Lorentzian Einstein–Weyl geometries of the hyper–CR type and the Veronese webs to show that the former structures are locally given in terms of solutions to the dispersionless Hirota equation. We also demonstrate how to construct hyper–CR Einstein–Weyl structures by Kodaira deformations of the flat twistor space$T\mathbb{CP}^1$, and how to recover the pencil of Poisson structures in five dimensions illustrating the method by an example of the Veronese web on the Heisenberg group.
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35

Keles, Ahmet, and Erhai Zhao. "Weyl nodes in periodic structures of superconductors and spin-active materials." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2125 (June 20, 2018): 20150151. http://dx.doi.org/10.1098/rsta.2015.0151.

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Motivated by recent progress in epitaxial growth of proximity structures of s -wave superconductors (S) and spin-active materials (M), in this paper we show that certain periodic structures of S and M can behave effectively as superconductors with pairs of point nodes, near which the low-energy excitations are Weyl fermions. A simple model, where M is described by a Kronig–Penney potential with both spin–orbit coupling and exchange field, is proposed and solved to obtain the phase diagram of the nodal structure, the spin texture of the Weyl fermions, as well as the zero-energy surface states in the form of open Fermi lines (Fermi arcs). As a second example, a lattice model with alternating layers of S and magnetic Z 2 topological insulators is solved. The calculated spectrum confirms previous predictions of Weyl nodes based on the tunnelling Hamiltonian of Dirac electrons. Our results provide further evidence that periodic structures of S and M are well suited for engineering gapless topological superconductors. This article is part of the theme issue ‘Andreev bound states’.
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36

Kamada, Hiroyuki. "Compact Einstein-Weyl four-manifolds with compatible almost complex structures." Kodai Mathematical Journal 22, no. 3 (1999): 424–37. http://dx.doi.org/10.2996/kmj/1138044094.

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37

Ghosh, Amalendu. "Complete Riemannian manifolds admitting a pair of~Einstein-Weyl structures." MATHEMATICA BOHEMICA 141, no. 3 (June 16, 2016): 315–25. http://dx.doi.org/10.21136/mb.2016.0072-14.

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38

Dunajski, Maciej. "Einstein–Maxwell dilaton metrics from three-dimensional Einstein–Weyl structures." Classical and Quantum Gravity 23, no. 9 (March 31, 2006): 2833–39. http://dx.doi.org/10.1088/0264-9381/23/9/004.

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39

Calderbank, David M. J., and Henrik Pedersen. "Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics." Annales de l’institut Fourier 50, no. 3 (2000): 921–63. http://dx.doi.org/10.5802/aif.1779.

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40

Matzeu, Paola. "Some examples of Einstein-Weyl structures on almost contact manifolds." Classical and Quantum Gravity 17, no. 24 (December 5, 2000): 5079–87. http://dx.doi.org/10.1088/0264-9381/17/24/309.

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41

Bonneau, Guy. "Einstein - Weyl structures corresponding to diagonal Kähler Bianchi IX metrics." Classical and Quantum Gravity 14, no. 8 (August 1, 1997): 2123–35. http://dx.doi.org/10.1088/0264-9381/14/8/012.

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42

Madsen, Anders Bisbjerg. "Einstein - Weyl structures in the conformal classes of LeBrun metrics." Classical and Quantum Gravity 14, no. 9 (September 1, 1997): 2635–45. http://dx.doi.org/10.1088/0264-9381/14/9/018.

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43

Yue, Xiaoqing, and Yucai Su. "Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type." Communications in Algebra 36, no. 4 (April 2008): 1537–49. http://dx.doi.org/10.1080/00927870701776649.

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44

Carmeli, C., R. Fioresi, and S. Kwok. "SUSY structures, representations and Peter–Weyl theorem for S1|1." Journal of Geometry and Physics 95 (September 2015): 144–58. http://dx.doi.org/10.1016/j.geomphys.2015.05.005.

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45

Kriegel, Ilka, Michele Guizzardi, and Francesco Scotognella. "Tantalum Arsenide-Based One-Dimensional Photonic Structures." Ceramics 1, no. 1 (August 13, 2018): 139–44. http://dx.doi.org/10.3390/ceramics1010012.

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Weyl semimetals can be described as the three-dimensional analogue of graphene, showing linear dispersion around nodes (Weyl points). Tantalum arsenide is among the most studied Weyl semimetals. It has been demonstrated that TaAs has a very high value of the real part of the complex refractive index in the infrared region. In this work we show one-dimensional photonic crystals alternating TaAs with SiO2 or TiO2 and a microcavity where a layer of TaAs is embedded between two SiO2-TiO2 multilayers.
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46

LI, NAN. "RELATIVE INFORMATION ENTROPY AND WEYL TENSOR." International Journal of Modern Physics: Conference Series 10 (January 2012): 131–36. http://dx.doi.org/10.1142/s2010194512005843.

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Due to cosmic structures in the Universe, the inhomogeneities influence the evolution of the background Universe. To characterize this influence, we extend the Kullback-Leibler relative entropy in information theory to cosmology. We study the relation between the relative entropy and the averaging problem in the perturbed Universe, and explore the temporal evolution in linear cosmological perturbation theory and beyond. The possible relationship of the relative entropy and the Weyl tensor is also discussed briefly.
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47

Lyu, Xiaofei, Hongzhu Li, Mengxin He, Qian Ding, and Tianzhi Yang. "Observation of the Weyl points and topological edge states in a synthetic Weyl elastic crystal." Applied Physics Letters 121, no. 12 (September 19, 2022): 122202. http://dx.doi.org/10.1063/5.0099111.

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Weyl points (WPs) have been experimentally observed in optics and air-borne acoustic crystals. Although elastic Weyl physics has been theoretically studied, there is no experimental evidence to date. In this paper, WPs in the elastic wave field are investigated and realized in a synthetic three-dimensional (3D) space by one-dimensional (1D) phononic crystals with acoustic black hole structures. The synthetic 3D space constitutes one physical dimension and two geometrical parameters. Results show that the topological edge states and interface states can be directly observed. Furthermore, some WPs are experimentally visualized in an elastic wave system and the measured data are in good agreement with numerical predictions. This opens a new pathway for manipulating 1D elastic waves in an extraordinary way.
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48

ITOH, Mitsuhiro. "Affine Locally Symmetric Structures and Finiteness Theorems for Einstein-Weyl Manifolds." Tokyo Journal of Mathematics 23, no. 1 (June 2000): 37–49. http://dx.doi.org/10.3836/tjm/1255958806.

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49

Dunajski, Maciej, and Paul Tod. "Einstein–Weyl structures from hyper–Kähler metrics with conformal Killing vectors." Differential Geometry and its Applications 14, no. 1 (January 2001): 39–55. http://dx.doi.org/10.1016/s0926-2245(00)00037-1.

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50

Gauduchon, P., and S. Ivanov. "Einstein-Hermitian surfaces and Hermitian Einstein-Weyl structures in dimension 4." Mathematische Zeitschrift 226, no. 2 (October 1997): 317–26. http://dx.doi.org/10.1007/pl00004342.

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