Results 61 to 70 of about 989 (170)

Natural operators in the view of Cartan geometries [PDF]

, 2003
summary:We prove, that $r$-th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order $(1,0)$ (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order ...
Panák, Martin
core  

The self-coupled Einstein-Cartan-Dirac equations in terms of Dirac bilinears

, 2019
In this article we present the algebraic rearrangement, or matrix inversion of the Dirac equation in a curved Riemann–Cartan spacetime with torsion; the presence of non-vanishing torsion is implied by the intrinsic spin-1/2 of the Dirac field.
Shaun Inglis (14739937), Peter Jarvis (14740186)   +1 more
core  

Holonomy of Cartan collections

, 2006
This thesis looks into the holonomy algebras of Tractor/Cartan connections for both projective and conformal structures. Using a splitting formula and a cone construction in the Einstein case, it classifies all reductive, non-irreducible holonomy groups ...
Armstrong, Stuart, Armstrong, M. Stuart.
core   +2 more sources

Cartan-Hannay-Berry phases and symmetry [PDF]

, 1989
We give a systematic treatment of the treatment of the classical Hannay-Berry phases for mechanical systems in terms of the holonomy of naturally constructed connections on bundles associated to the system.
R. Montgomery, J. Marsden, T. Ratiu, Montgomery, Sean M., Marsden, J., Ratiu, T.   +5 more
core   +1 more source

The Tanaka-Webster connection for almost $\mathcal{S}$-manifolds and Cartan geometry

, 2004
summary:We prove that a CR-integrable almost $\mathcal S$-manifold admits a canonical linear connection, which is a natural generalization of the Tanaka–Webster connection of a pseudo-hermitian structure on a strongly pseudoconvex CR manifold of ...
Pastore, Anna Maria, Lotta, Antonio
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Teleparallel gravity (TEGR) as a gauge theory: Translation or Cartan connection?

, 2019
12pp, 8 figsInternational audienceIn this paper we question the status of TEGR, the Teleparallel Equivalent of General Relativity,as a gauge theory of translations.
Huguet, E., Fontanini, M, Le Delliou, M.
core   +1 more source

Equivariant quantizations and Cartan connections

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007
This is mostly a review article of results of the contribution of P. Mathonet and his collaborators in the field of \(G\)-equivariant quantization. After reviewing the results referring to projectively equivariant quantization [\textit{P. B. A. Lecomte} and \textit{V. Yu. Ovsienko}, Lett. Math. Phys. 49, 173--196 (1999; Zbl 0989.17015)], P.
openaire   +3 more sources

A Note on Chern-Weil Classes of Cartan Connections

Differential Geometry and its Applications
Minor corrections made in this ...
Luca Accornero, Mateus M. de Melo, Ivan Struchiner   +2 more
openaire   +2 more sources

A lemma of Élie Cartan

, 1975
We provide in this paper an alternative proof of the lemma of E. Cartan which states that parallel translation of curvature and torsion locally determines an affine connection.
Robert Maltz
core   +1 more source

Automorphisms of Spacetime Manifold with Torsion [PDF]

, 2016
summary:In this paper we prove that the maximum dimension of the Lie group of automorphisms of the Riemann–Cartan 4-dimensional manifold does not exceed 8, and if the Cartan connection is skew-symmetric or semisymmetric, the maximum dimension is equal to
Pan’Zhenskii, Vladimir Ivanovich, Surina, Olga Petrovna   +1 more
core   +1 more source