Academic literature on the topic 'Cahen-Wallach space'
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Journal articles on the topic "Cahen-Wallach space"
Figueroa-O’Farrill, José. "Symmetric M-theory backgrounds." Open Physics 11, no. 1 (January 1, 2013): 1–36. http://dx.doi.org/10.2478/s11534-012-0160-6.
Full textSIOPSIS, GEORGE. "THE PENROSE LIMIT OF AdS×S SPACE AND HOLOGRAPHY." Modern Physics Letters A 19, no. 12 (April 20, 2004): 887–95. http://dx.doi.org/10.1142/s0217732304013891.
Full textKlinker, Frank. "Connections on Cahen-Wallach Spaces." Advances in Applied Clifford Algebras 24, no. 3 (February 19, 2014): 737–68. http://dx.doi.org/10.1007/s00006-014-0451-7.
Full textKath, Ines, and Martin Olbrich. "Compact quotients of Cahen-Wallach spaces." Memoirs of the American Mathematical Society 262, no. 1264 (November 2019): 0. http://dx.doi.org/10.1090/memo/1264.
Full textSanti, Andrea. "Superizations of Cahen–Wallach symmetric spaces and spin representations of the Heisenberg algebra." Journal of Geometry and Physics 60, no. 2 (February 2010): 295–325. http://dx.doi.org/10.1016/j.geomphys.2009.10.002.
Full textDissertations / Theses on the topic "Cahen-Wallach space"
Grouy, Thibaut. "Radon-type transforms on some symmetric spaces." Doctoral thesis, Universite Libre de Bruxelles, 2019. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/285815.
Full textIn this thesis, we study Radon-type transforms on some symmetric spaces. A Radon-type transform associates to any compactly supported continuous function on a manifold $M$ its integrals over a class $Xi$ of submanifolds of $M$. The problem we address is the inversion of such a transform, that is determining the function in terms of its integrals over the submanifolds in $Xi$. We first present the solution to this inverse problem which is due to Sigurdur Helgason and François Rouvière, amongst others, when $M$ is an isotropic Riemannian symmetric space and $Xi$ a particular orbit of totally geodesic submanifolds of $M$ under the action of a Lie transformation group of $M$. The associated Radon transform is qualified as totally geodesic.On semisimple pseudo-Riemannian symmetric spaces, we consider an other Radon-type transform, which associates to any compactly supported continuous function its orbital integrals, that is its integrals over the orbits of the isotropy subgroup of the transvection group. The inversion of orbital integrals, which is given by a limit-formula, has been obtained by Sigurdur Helgason on Lorentzian symmetric spaces with constant sectional curvature and by Jeremy Orloff on any rank-one semisimple pseudo-Riemannian symmetric space. We solve the inverse problem for orbital integrals on Cahen-Wallach spaces, which are model spaces of solvable indecomposable Lorentzian symmetric spaces.In the last part of the thesis, we are interested in Radon-type transforms on symplectic symmetric spaces with Ricci-type curvature. The inversion of orbital integrals on these spaces when they are semisimple has already been obtained by Jeremy Orloff. However, when these spaces are not semisimple, the orbital integral operator is not invertible. Next, we determine the orbits of symplectic or Lagrangian totally geodesic submanifolds under the action of a Lie transformation group of the starting space. In this context, the technique of inversion that has been developed by Sigurdur Helgason and François Rouvière, amongst others, only works for symplectic totally geodesic Radon transforms on Kählerian symmetric spaces with constant holomorphic curvature. The inversion formulas for these transforms on complex hyperbolic spaces are due to François Rouvière. We compute the inversion formulas for these transforms on complex projective spaces.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Teisseire, Stuart Benjamin. "Conformal group actions on Cahen-Wallach spaces." Thesis, 2021. http://hdl.handle.net/2440/131752.
Full textThesis (MPhil) -- University of Adelaide, School of Mathematical Sciences, 2021
Books on the topic "Cahen-Wallach space"
Kath, Ines, and Martin Olbrich. Compact Quotients of Cahen-Wallach Spaces. American Mathematical Society, 2020.
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