Results 1 to 10 of about 989 (170)
Cartan Connections and Integrable Vortex Equations
Journal of Geometry and Physics, 2021 We demonstrate that integrable abelian vortex equations on constant curvature Riemann surfaces can be reinterpreted as flat non-abelian Cartan connections.
Ross, Calum, Ross, Calum; id_orcid
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Teleparallel gravity as a gauge theory: Coupling to matter using the Cartan connection
Physical Review D, 2021 International audienceWe present a consistent and complete description of the coupling to matter in the Teleparallel Equivalent to General Relativity (TEGR) theory built from a Cartan connection, as we proposed in previous works.
E Huguet
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Cartan Connections on Lie Groupoids and their Integrability [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 A multiplicatively closed, horizontal n-plane field D on a Lie groupoid G over M generalizes to intransitive geometry the classical notion of a Cartan connection.
Blaom, A.D.
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Super Cartan Geometry and the Super Ashtekar Connection
Annales Henri Poincaré, 2023 This work is devoted to the geometric approach to supergravity. More precisely, we interpret N=1, D=4supergravity as a super Cartan geometry which provides a link between supergravity and Yang–Mills theory.
Eder, Konstantin
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Polyakov Soldering and Second-Order Frames: The Role of the Cartan Connection
Letters in Mathematical Physics, 2008 Accepté pour publication dans Lett. Math. Phys.International audienceThe so-called "soldering" procedure performed by A.M.~Polyakov in [1] for a SL(2,R)-gauge theory is geometrically explained in terms of a Cartan connection on second order frames of the
Serge Lazzarini
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The normal conformal Cartan connection and the Bach tensor [PDF]
Classical and Quantum Gravity, 2003 30 pages, no figures, LaTeX, to be published in Class.
Jerzy Lewandowski, Mikołaj Korzynski
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Nullity distributions associated to Cartan connection [PDF]
Indian Journal of Pure and Applied Mathematics, 2014 The Klein-Grifone approach to global Finsler geometry is adopted. The nullity distributions of the three curvature tensors of Cartan connection are investigated. Nullity distributions concerning certain relevant special Finsler spaces are considered. Concrete examples are given whenever the situation needs.
Nabil L Youssef +2 more
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Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
Journal of Algebra, 2006 In the present work the properties of Cartan subalgebras and their connection with regular elements in finite-dimensional Lie algebras are extended to the case of Leibniz algebras.
B A Omirov
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Cartan connection of transversally Finsler foliation
Annales UMCS, Mathematica, 2016 The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and ...
Miernowski, Andrzej
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Cartan connection associated with a subriemannian structure
Differential Geometry and Its Applications, 2008 Abstract For each subriemannian manifold of constant subriemannian symbol we construct a Cartan connection canonically associated with this structure.
Tohru Morimoto
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