Results 181 to 190 of about 1,134,625 (212)

Cartan-type connections and connection sequences

Publicationes Mathematicae Debrecen, 2022
\textit{B. T. Hassan} (Ph. D. Thesis, Southampton 1967) has characterized by certain conditions the Cartan connection of a Finsler space (M,\({\mathcal F})\). By making use of a nonlinear connection N in the tangent bundle TM, from conditions which are slight alterations of those of Hassan, a unique metric connetion \(\nabla^{N}\) is derived for a ...
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Twistors and Cartan Connections

Annals of Global Analysis and Geometry, 2000
The main result of the paper gives a general approach for constructing a twistor space with a CR-structure for a manifold with a geometric structure. It states the following: Let \(G\) be a closed subgroup of a Lie group \(L\) and let \(W\) be a closed subgroup of the complexification \(L^{{\mathbb C}}\). Set \(K=W\cap G\).
Alekseevsky, D. V., Graev, M. M.
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Twistor connection and normal conformal Cartan connection

General Relativity and Gravitation, 1977
It is shown how the normal conformal Cartan connection, used by Schmidt [1] to define conformal infinity of space-time, is related to the connection on the vector bundle of local twistors.
Helmut Friedrich
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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 Youssef, Salah Elgendi, Amr Soleiman   +2 more
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On Connections Of Cartan

Canadian Journal of Mathematics, 1956
Introduction. Consider a differentiable manifold M and the tangent bundle T(M) over M, the structure group of which is usually the general linear group G'. Let P' be the principal fibre bundle associated with T(M). Consider the fibre F of T(M) as an affine space, then we have acting on F the affine transformation group G, which contains G' as the ...
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Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras [PDF]

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 connections and Lie groupoids

2022
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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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.
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A formulation of supergravity based on Cartan’s connection

Journal of Mathematical Physics, 1993
The supergravity is formulated as a gauge theory with the Yang–Mills Lagrangian quadratic in curvature. To arrive at such a description, the super fiber bundle based on a superspace with the OSP(n/4) symmetry group is introduced. The connection in this bundle becomes the Cartan connection when OSP(n/4) is broken to SL(2,C)⊗SO(n). In the reduced bundle,
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Cartan connections for CR manifolds

manuscripta mathematica, 2007
For a strictly pseudoconvex CR manifold \(M\) of hypersurface type, \textit{S. S. Chern} and \textit{J. K. Moser} [Acta Math. 133, 219--271 (1975; Zbl 0302.32015)] and \textit{N. Tanaka} [Jap. J. Math., New Ser. 2, 131--190 (1976; Zbl 0346.32010)] gave two equivalent constructions of a normal Cartan connection \(\Omega\), with values in a principal ...
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