Academic literature on the topic 'Three-manifolds'

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Journal articles on the topic "Three-manifolds"

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Mednykh, A. D. "Three-dimensional hyperelliptic manifolds." Annals of Global Analysis and Geometry 8, no. 1 (1990): 13–19. http://dx.doi.org/10.1007/bf00055015.

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Matveev, S. V. "Three-manifolds. Classical results." Journal of Mathematical Sciences 74, no. 1 (1995): 834–60. http://dx.doi.org/10.1007/bf02362845.

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SONG, YI, and STEPHEN P. BANKS. "DYNAMICAL SYSTEMS ON THREE MANIFOLDS PART II: THREE-MANIFOLDS, HEEGAARD SPLITTINGS AND THREE-DIMENSIONAL SYSTEMS." International Journal of Bifurcation and Chaos 17, no. 06 (2007): 2085–95. http://dx.doi.org/10.1142/s0218127407018233.

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The global behavior of nonlinear systems is extremely important in control and systems theory since the usual local theories will only provide information about a system in some neighborhood of an operating point. Away from that point, the system may have totally different behavior and so the theory developed for the local system will be useless for the global one. In this paper we shall consider the analytical and topological structure of systems on two- and three-manifolds and show that it is possible to obtain systems with "arbitrarily strange" behavior, i.e. arbitrary numbers of chaotic re
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Gordeeva, I. A., and S. E. Stepanov. "Three classes of Weitzenböck manifolds." Russian Mathematics 56, no. 1 (2011): 83–85. http://dx.doi.org/10.3103/s1066369x12010136.

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Gómez-Larrañaga, José Carlos, Francisco González-Acuña, and Wolfgang Heil. "Amenable category of three–manifolds." Algebraic & Geometric Topology 13, no. 2 (2013): 905–25. http://dx.doi.org/10.2140/agt.2013.13.905.

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CHO, JONG TAEK, and DONG-HEE YANG. "CONFORMALLY FLAT CONTACT THREE-MANIFOLDS." Journal of the Australian Mathematical Society 103, no. 2 (2016): 177–89. http://dx.doi.org/10.1017/s1446788716000471.

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In this paper, we consider contact metric three-manifolds $(M;\unicode[STIX]{x1D702},g,\unicode[STIX]{x1D711},\unicode[STIX]{x1D709})$ which satisfy the condition $\unicode[STIX]{x1D6FB}_{\unicode[STIX]{x1D709}}h=\unicode[STIX]{x1D707}h\unicode[STIX]{x1D711}+\unicode[STIX]{x1D708}h$ for some smooth functions $\unicode[STIX]{x1D707}$ and $\unicode[STIX]{x1D708}$, where $2h=\unicode[STIX]{x00A3}_{\unicode[STIX]{x1D709}}\unicode[STIX]{x1D711}$. We prove that if $M$ is conformally flat and if $\unicode[STIX]{x1D707}$ is constant, then $M$ is either a flat manifold or a Sasakian manifold of constan
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Singerman, D. "CLASSICAL TESSELLATIONS AND THREE-MANIFOLDS." Bulletin of the London Mathematical Society 21, no. 3 (1989): 292–93. http://dx.doi.org/10.1112/blms/21.3.292.

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Fischer, Werner. "Classical Tessellations and Three-Manifolds." Zeitschrift für Kristallographie 189, no. 1-2 (1989): 155. http://dx.doi.org/10.1524/zkri.1989.189.1-2.155.

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Matveev, S. V. "Tabulation of three-dimensional manifolds." Russian Mathematical Surveys 60, no. 4 (2005): 673–98. http://dx.doi.org/10.1070/rm2005v060n04abeh003673.

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Matveev, Sergei V. "Computer Recognition of Three-Manifolds." Experimental Mathematics 7, no. 2 (1998): 153–61. http://dx.doi.org/10.1080/10586458.1998.10504365.

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Dissertations / Theses on the topic "Three-manifolds"

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Mijatović, Aleksandar. "Triangulations of three-manifolds." Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619611.

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Newman-Gomez, Sharon Angela. "State sum invariants of three manifolds." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1510.

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Cremaschi, Tommaso. "Hyperbolic 3-manifolds of infinite type:." Thesis, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108468.

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Thesis advisor: Ian Biringer<br>In this thesis we study the class of 3-manifolds that admit a compact exhaustion by hyperbolizable 3-manifolds with incompressible boundary and such that the genus of the boundary components of the elements in the exhaustion is uniformly bounded. For this class we give necessary and sufficient topological conditions that guarantee the existence of a complete hyperbolic metric<br>Thesis (PhD) — Boston College, 2019<br>Submitted to: Boston College. Graduate School of Arts and Sciences<br>Discipline: Mathematics
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Wang, Bai-Ling. "Seiberg-Witten monopoles on three-manifolds /." Title page, abstract and contents only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phw2455.pdf.

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Howards, Hugh Nelson. "Curves and surfaces in three-manifolds /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9732691.

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Braam, Peter J. "Magnetic monopoles and hyperbolic three-manifolds." Thesis, University of Oxford, 1987. http://ora.ox.ac.uk/objects/uuid:daa73d43-6d58-404c-9926-ebf23f59cfc6.

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Let M = H<sup>3</sup>/Γ be a complete, non-compact, oriented geometrically finite hyperbolic 3-manifold without cusps. By constructing a conformal compactification of M x S<sup>1</sup> we functorially associate to M an oriented, conformally flat, compact 4-manifold X (without boundary) with an S<sup>1</sup>-action. X determines M as a hyperbolic manifold. Using our functor and the differential geometry of conformally flat 4-manifolds we prove that any Γ as above with a limit set of Hausdorff dimension ≤ 1 is Schottky, Fuchsian or extended Fuchsian. Furthermore, the Hodge theory for H<sup>2</su
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Haynes, Elizabeth Lydia. "Smale Flows on Three Dimensional Manifolds." OpenSIUC, 2012. https://opensiuc.lib.siu.edu/dissertations/470.

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We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on S3? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on S3? This dissertation extends the work of M. Sullivan and B. Yu.
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Breinlinger, Keith J. (Keith Joseph) 1974. "Three-dimensional routed manifolds with externally inserted cables." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29624.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2003.<br>Includes bibliographical references (p. 253-259).<br>The Automatic Test Equipment industry must maintain a tester accuracy of roughly one tenth the pulsewidth of the device under test (DUT). Funneling a vast number of electrical signals into a very tiny area to contact the DUT while still maintaining good signal fidelity is a problem not only in the ATE industry, but also for personal computers, network servers and supercomputers. As the speed of processors increase, ATE companies must find new wa
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Adhikari, Kamal Mani. "Realizations of simple Smale flows on three-manifolds." OpenSIUC, 2016. https://opensiuc.lib.siu.edu/dissertations/1250.

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In this dissertation, we discuss how to realize simple Smale flows on 3-manifolds. We use four-band and three-band templates to study the linking structure of two types of closed orbits known as attracting closed orbits and repelling closed orbits in the flow. This dissertation extends the work done by M. Sullivan on realizing Lorenz Smale flows on 3-manifolds, by Bin Yu on realizing Lorenz-like Smale flows on 3-manifolds and continues the work of Elizabeth Haynes and Michael Sullivan on realizing simple Smale flows with a four-band template on a 3-sphere. The four-band template we use in
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Alcaraz, Karin. "The Alexander polynomial of closed 3-manifolds." Thesis, University of Oxford, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.564280.

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Books on the topic "Three-manifolds"

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge University Press, 2007.

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge University Press, 2007.

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge University Press, 2011.

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Classical tessellations and three-manifolds. Springer-Verlag, 1987.

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Montesinos-Amilibia, José María. Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6.

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Cooper, Daryl. Three-dimensional orbifolds and cone-manifolds. Mathematical Society of Japan, 2000.

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Cooper, Daryl. Three-dimensional orbifolds and cone-manifolds. Mathematical Society of Japan, 2000.

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W, Reid Alan, ed. The arithmetic of hyperbolic three-manifolds. Springer, 2003.

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Fomenko, A. T. Algorithmic and computer methods for three-manifolds. Kluwer Academic, 1997.

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Topology and combinatorics of 3-manifolds. Springer-Verlag, 1995.

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Book chapters on the topic "Three-manifolds"

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Stillwell, John. "Three-Dimensional Manifolds." In Graduate Texts in Mathematics. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-4372-4_9.

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Montesinos-Amilibia, José María. "Seifert Manifolds." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_4.

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Montesinos-Amilibia, José María. "Manifolds of Spherical Tessellations." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_3.

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Montesinos-Amilibia, José María. "Manifolds of Hyperbolic Tessellations." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_5.

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Colding, Tobias, and William Minicozzi. "Minimal surfaces in three-manifolds." In A Course in Minimal Surfaces. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/121/07.

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Marcolli, Matilde. "Seiberg—Witten on three-manifolds." In Texts and Readings in Mathematics. Hindustan Book Agency, 1999. http://dx.doi.org/10.1007/978-93-86279-00-2_3.

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Fomenko, A. T., and S. V. Matveev. "Seifert Manifolds." In Algorithmic and Computer Methods for Three-Manifolds. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-0699-5_10.

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Montesinos-Amilibia, José María. "S1-Bundles Over Surfaces." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_1.

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Montesinos-Amilibia, José María. "Manifolds of Tessellations on the Euclidean Plane." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_2.

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Montesinos-Amilibia, José María. "Errata." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_6.

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Conference papers on the topic "Three-manifolds"

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KRONHEIMER, PETER B., and TOMASZ S. MROWKA. "KNOTS, THREE-MANIFOLDS AND INSTANTONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0024.

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Gilmer, Patrick M. "Quantum invariants of periodic three-manifolds." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.157.

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Kauffman, Louis H. "Right integrals and invariants of three-manifolds." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.215.

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Gunn, Charlie. "Discrete groups and visualization of three-dimensional manifolds." In the 20th annual conference. ACM Press, 1993. http://dx.doi.org/10.1145/166117.166150.

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Rubinstein, J. Hyam, and Martin Scharlemann. "Genus two Heegaard splittings of orientable three-manifolds." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.489.

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de La Rosa Siqueira, Cesareo, Martin Poulsen Kessler, Rafael Rampazzo, and Denilson A. Cardoso. "Three-dimensional Numerical Analysis of Flow inside Exhaust Manifolds." In 2006 SAE Brasil Congress and Exhibit. SAE International, 2006. http://dx.doi.org/10.4271/2006-01-2623.

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Fabbri, Davide. "Three dimensional Conformal Field Theories from Sasakian seven-manifolds." In Quantum aspects of gauge theories, supersymmetry and unification. Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.004.0015.

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Tian, G., та S. T. Yau. "Three dimensional algebraic manifolds with C1 = 0 and χ = −6". У Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0026.

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MANEV, M., K. GRIBACHEV, and D. MEKEROV. "ON THREE-PARAMETRIC LIE GROUPS AS QUASI-KÄHLER MANIFOLDS WITH KILLING NORDEN METRIC." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0022.

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GÓMEZ, G., W. S. KOON, M. W. LO, J. E. MARSDEN, J. J. MASDEMONT, and S. D. ROSS. "INVARIANT MANIFOLDS, THE SPATIAL THREE-BODY PROBLEM AND PETIT GRAND TOUR OF JOVIAN MOONS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704849_0025.

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Reports on the topic "Three-manifolds"

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Nakova, Galia. Curvature Properties of Some Three-Dimentional Almost Contact Manifolds with B-Metric II. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-169-177.

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Fetcu, Dorel. Integral Submanifolds in Three-Sasakian Manifolds Whose Mean Curvature Vector Fields are Eigenvectors of the Laplace Operator. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-210-223.

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