Results 71 to 80 of about 989 (170)

On cartan spaces with (α, β)-metric

open access: yes, 2007
Ã. Cartan 2 has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund 10, F. Brickell 1 and others studied the relation between these two spaces. The theory of Hamilton spaces was introduced and studied by R.
Nagaraja, H.G.
core  

Cartan and Berwald connections in the pullback formalism

open access: yes, 2007
Adopting the pullback approach to global Finsler geometry, the aim of the present paper is to provide new intrinsic (coordinate-free) proofs of intrinsic versions of the existence and uniqueness theorems for the Cartan and Berwald connections on a Finsler manifold.
Youssef, Nabil L.   +2 more
openaire   +2 more sources

Cartan approach to Teleparallel Equivalent to General Relativity: A review

open access: yes, 2020
International audienceIn previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to General Relativity (TEGR) Theory led us to propose a new formulation using a Cartan ...
Huguet, E.   +2 more
core   +1 more source

Minkowski inequality in Cartan-Hadamard manifolds

open access: yes, 2023
Using harmonic mean curvature flow, we establish a sharp Minkowski type lower bound for total mean curvature of convex surfaces with a given area in Cartan-Hadamard 3-manifolds.
Spruck, Joel, Ghomi, Mohammad
core  

Grupoides e algebroides de estrutura de Cartan

open access: yes
This work concerns Cartan structure algebroids, a new synthesis of two other mathematical concepts: Cartan geometries and Lie algebroids. The objective of this synthesis is to provide a generalizing framework for the development of Lie theory of ...
Fushimi, Luiz Felipe Villar
core   +1 more source

Parabolic Geometries and Canonical Cartan Connections

open access: yes, 1999
Let G be a (real or complex) semisimple Lie group, whose Lie algebra g is endowed with a so called |k|–grading, i.e. a grading of the form g = g−k ⊕ · · · ⊕ gk, such that no simple factor of G is of type A1. Let P be the subgroup corresponding to the
Andreas Čap, Hermann Schichl
core  

CONFORMAL INVARIANCE IN EINSTEIN–CARTAN–WEYL SPACE

open access: yes, 2010
We consider conformally invariant form of the actions in Einstein, Weyl, Einstein–Cartan and Einstein–Cartan–Weyl space in general dimensions (> 2) and investigate the relations among them.
TAEYOON MOON, PHILLIAL OH, JOOHAN LEE
core   +1 more source

Generalized teleparallel de Sitter geometries. [PDF]

open access: yesEur Phys J C Part Fields, 2023
Coley AA   +3 more
europepmc   +1 more source

10–plectic formulation of gravity and Cartan connections

open access: yes, 2016
We give a Hamiltonian formulation of Weyl–Einstein–Cartan gravity which is covariant from the viewpoint of the geometry of the principal fiber bundle. The connection is represented by a 1-form with values in the Poincaré Lie algebra, which is defined on ...
Vey, Dimitri
core  

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