Results 141 to 150 of about 989 (170)

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, Friedrich Helmut
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Gravity as a gauge theory with Cartan connection

Journal of Mathematical Physics, 1988
A gauge formulation of gravity, based on the notion of the connection of Cartan, is given. The Cartan connection involves two principal fiber bundles P and P′ with groups G and G′, respectively; G′ is a subgroup of G and can be regarded as a symmetry group to which G is broken.
exaly   +2 more sources

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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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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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 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 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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On the Cartan and Berwald expressions of Finsler connections

1986
M. Matsumoto characterized the Cartan connection \(C\Gamma\) of a Finsler space (M,L) by the vanishing of \[ (*)\quad g_{ij| k},\quad g_{ij}|_ k,\quad D^ i_ k,\quad T_ j^ i{}_ k,\quad S_ j^ i{}_ k \] (h- and v-covariant derivatives of \(g_{ij}\), the deflection tensor, and two torsion tensors).
AIKOU, Tadashi, HASHIGUCHI, Masao
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Sprays and Cartan projective connections

AIP Conference Proceedings, 2004
Around 80 years ago, several authors (for instance H. Weyl, T.Y. Thomas, J. Douglas and J.H.C. Whitehead) studied the projective geometry of paths, using the methods of tensor calculus. The principal object of study was a spray, namely a homogeneous second‐order differential equation, or more generally a projective equivalence class of sprays.
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