Results 81 to 90 of about 531 (177)

Levi-Civita connections of flag manifolds

, 2005
8 ...
openaire   +2 more sources

On Locally Nonhomogeneous Pseudo–Riemannian Manifolds with Locally Homogeneous Levi–Civita Connections

International Journal of Mathematics, 2003
In this paper we make the first steps to a classification of (pseudo-) Riemannian manifolds which are not locally homogeneous but their Levi–Civita connections are homogeneous. The full classification is given for dimension n = 2; in higher dimensions we prove some substantial partial results.
Kowalski, Oldřich, Vlášek, Zdeněk, Opozda, Barbara   +2 more
openaire   +3 more sources

Arithmetic Levi–Cività connection [PDF]

Selecta Mathematica, 2019
This paper is part of a series of papers where an arithmetic analogue of classical differential geometry is being developed. In this arithmetic differential geometry functions are replaced by integer numbers, derivations are replaced by Fermat quotient operators, and connections (respectively curvature) are replaced by certain adelic (respectively ...
openaire   +4 more sources

Local conformal symmetry in non-Riemannian geometry and the origin of physical scales

European Physical Journal C: Particles and Fields, 2017
We introduce an extension of the Standard Model and General Relativity built upon the principle of local conformal invariance, which represents a generalization of a previous work by Bars, Steinhardt and Turok. This is naturally realized by adopting as a
Marco de Cesare, John W. Moffat, Mairi Sakellariadou   +2 more
doaj   +1 more source

The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds

Journal of Geometry and Physics
We consider unitary cocycle deformations of covariant $\ast$-differential calculi. We prove that complex structures, holomorphic bimodules and Chern connections on the deformed calculus are twists of their untwisted counterparts. Moreover, for cocycle deformations of a class of classical Kähler manifolds, the Levi-Civita connection on the space of one ...
Jyotishman Bhowmick, Bappa Ghosh
openaire   +2 more sources

Intrinsic Optimal Control for Mechanical Systems on Lie Group

Advances in Mathematical Physics, 2017
The intrinsic infinite horizon optimal control problem of mechanical systems on Lie group is investigated. The geometric optimal control problem is built on the intrinsic coordinate-free model, which is provided with Levi-Civita connection.
Chao Liu, Shengjing Tang, Jie Guo
doaj   +1 more source

Palatini Gauss-Bonnet theory

Journal of High Energy Physics
We consider a class of models in even spacetime dimensions 2n which share many similarities with Chern-Simons theories in odd spacetime dimensions 2n + 1.
Máximo Bañados, Marc Henneaux
doaj   +1 more source

The canonical generalised Levi-Civita connection and its curvature

34 ...
Cortés, Vicente, Mackevicius, Matas, Mohaupt, Thomas, Schiller, Oskar   +3 more
openaire   +2 more sources

Riemannian gradient and Levi-Civita connection for fixed-rank matrices

, 2020
We provide formulas for Riemannian gradient and Levi-Civita connection for a family of metrics on fixed-rank matrix manifolds, based on nonconstant metrics on Stiefel manifolds.
openaire   +2 more sources

Levi-Civita connection on the irreducible quantum flag manifolds

We classify covariant metrics (in the sense of Beggs and Majid) on a class of quantum homogeneous spaces. In particular, our classification implies the existence of a unique (up to scalar) quantum symmetric covariant metric on the Heckenberger--Kolb calculi for the quantized irreducible flag manifolds. Moreover, we prove the existence and uniqueness of
Bhowmick, Jyotishman, Ghosh, Bappa, Krutov, Andrey O., Buachalla, Réamonn Ó   +3 more
openaire   +2 more sources