Results 11 to 20 of about 877,125 (163)
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space.
Derek K. Wise
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Geometry of product complex Cartan manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Aldea Nicoleta, Munteanu Gheorghe
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Fibonacci Cartan and Lucas Cartan numbers
Open MathematicsThis study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
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Cones and Cartan geometry [PDF]
, 2021 We show that the extended principal bundle of a Cartan geometry of type (A(m,R),GL(m,R)), endowed with its extended connection ωˆ, is isomorphic to the principal A(m,R)-bundle of affine frames endowed with the affine connection as defined in classical ...
Olmos C. E. +5 more
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Higher symmetries of the Schrödinger operator in Newton–Cartan geometry [PDF]
, 2016 We establish several relationships between the non-relativistic conformal symmetries of Newton–Cartan geometry and the Schrödinger equation. In particular we discuss the algebra sch(d) of vector fields conformally-preserving a flat Newton–Cartan ...
Gundry, James
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Cartan Connections on Lie Groupoids and their Integrability [PDF]
, 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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Cartan geometry, supergravity and group manifold approach [PDF]
summary:We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations.
François, Jordan, Ravera, Lucrezia
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Lax pairs for string Newton Cartan geometry
Nuclear Physics B, 2020 In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry.
Dibakar Roychowdhury
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Combined Screw and Wedge Dislocations
Universe, 2023 Elastic media with defects are considered manifold with nontrivial Riemann–Cartan geometry in the geometric theory of defects. We obtain the solution of three-dimensional Euclidean general relativity equations with an arbitrary number of linear parallel ...
Mikhail O. Katanaev, Alexander V. Mark
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Newton-Cartan gravity and torsion
Journal of High Energy Physics, 2017 We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result that one obtains from a null-reduction of General Relativity.
Eric Bergshoeff +3 more
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