Results 101 to 110 of about 1,134,625 (212)
Cartan connections and integrable vortex equations
, 2022 We demonstrate that integrable abelian vortex equations on constant curvature Riemann surfaces can be reinterpreted as flat non-abelian Cartan connections.
Ross, Calum
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Cartan and Berwald connections in the pullback formalism
, 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
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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Battle flags hanging in Ohio History Center plaza
, 1970 Photograph of Ohio's Battle Flag collection hanging in the plaza of the Ohio History Center in Columbus, Ohio, ca. 1970. The flags were displayed on the Center’s plaza level from the time the building opened in 1970 through the late 1980s, when they were
Ohio History Connection
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Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We address the integrability conditions of the inverse problem of the calculus of variations for time-dependent SODE using the Spencer version of the Cartan-Kähler theorem.
Oana Constantinescu
doaj +1 more source
Cartan structure equations and Levi-Civita connection in noncommutative geometry
We study the differential and Riemannian geometry of algebras A endowed with an action of a triangular Hopf algebra H and noncommutativity compatible with the associated braiding.
Aschieri, Paolo
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On the Completeness of Cartan Connections [PDF]
Indiana University Mathematics Journal, 1966 openaire +2 more sources
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) +1 more
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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 +1 more source
Generalized teleparallel de Sitter geometries. [PDF]
Eur Phys J C Part Fields, 2023 Coley AA +3 more
europepmc +1 more source