Results 11 to 20 of about 1,134,625 (212)
Cartan Connections and Integrable Vortex Equations [PDF]
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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Super Cartan Geometry and the Super Ashtekar Connection [PDF]
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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Cartan Connections and Lie Algebroids [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc.
Michael Crampin
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Geometrical frustration in nonlinear mechanics of screw dislocation [PDF]
Royal Society Open ScienceThe existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations.
Shunsuke Kobayashi, Ryuichi Tarumi
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Cartan connection of transversally Finsler foliation [PDF]
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 connections and Atiyah Lie algebroids [PDF]
Journal of Geometry and Physics, 2020 27 pages.
Attard, Jérémy +3 more
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Non-holonomic connections following Élie Cartan [PDF]
Anais da Academia Brasileira de Ciências, 2001 In this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as those considered by Cartan, a special type which we call strongly or maximally non-holonomic.
KOILLER, JAIR +2 more
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Chiral perturbation theory for GR
Journal of High Energy Physics, 2020 We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing procedure that eliminates the connection-to-connection propagator.
Kirill Krasnov, Yuri Shtanov
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The cosmology of quadratic torsionful gravity
European Physical Journal C: Particles and Fields, 2021 We study the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid. The gravitational action is an extension of the Einstein–Cartan theory given by the usual Einstein–Hilbert contribution plus all ...
Damianos Iosifidis, Lucrezia Ravera
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The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A linear connection on a Lie algebroid is called a Cartan connection if it is suitably compatible with the Lie algebroid structure. Here we show that a smooth connected manifold M is locally homogeneous – i.e., admits an atlas of charts modeled on some ...
Anthony D. Blaom
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