Results 91 to 100 of about 531 (177)

Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms

Advances in Mathematics
We combine Hilbert module and algebraic techniques to give necessary and sufficient conditions for the existence of an Hermitian torsion-free connection on the bimodule of differential one-forms of a first order differential calculus. In the presence of the extra structure of a bimodule connection, we give sufficient conditions for uniqueness. We prove
Mesland, B., Rennie, A.
openaire   +3 more sources

Connections compatible with tensors. A characterization of left-invariant Levi--Civita connections in Lie groups

, 2005
Symmetric connections that are compatible with semi-Riemannian metrics can be characterized using an existence result for an integral leaf of a (possibly non integrable) distribution. In this paper we give necessary and sufficient conditions for a left-invariant connection on a Lie group to be the Levi-Civita connection of some semi-Riemannian metric ...
Piccione, Paolo, Tausk, Daniel V.
openaire   +2 more sources

On the Geometry of the Kähler Golden Manifold

Axioms
The main objective of this paper is to investigate the properties related to the sectional curvatures of a Kähler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi–Civita ...
Cristina Elena Hreţcanu, Valeria Şutu (Cîrlan)   +1 more
doaj   +1 more source

ON THE LIFTS OF SEMI-RIEMANNIAN METRICS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1994
In this paper, we extend Sasaki metric for tangent bundle of a Riemannian manifold and Sasaki-Mok metric for the frame bundle of a Riemannian manifold [I] to the case of a semi-Riemannian vector bundle over a semi- Riemannian manifold. In fact, if E is a
doaj  

Noncommutative Lagrange Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2008
It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e.
Denis Kochan
doaj   +1 more source

On the existence of noncommutative Levi-Civita connections in derivation based calculi

Journal of Geometry and Physics
33 ...
Joakim Arnlind, Victor Hildebrandsson
openaire   +3 more sources

On nondegenerate umbilical affine hypersurfaces in recurrent affine manifolds

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
Let $widetilde{M}$ be a differentiable manifold of dimension $geqslant 5$, which is endowed with a (torsion-free) affine connection $widetildeabla$ of recurrent curvature.
Zbigniew Olszak
doaj  

Conserved quantities of Kerr-AdS black holes based on a connection independent Lagrangian

四川大学学报. 自然科学版
On the basis of a connection-independent Lagrangian for Einstein gravity, a generalized Katz-Bicak-Lynden-Bell (KBL) potential that contains an arbitrary affine connection is derived.
WANG Yao, GUO Wei-Jie, PENG Jun-Jin
doaj  

Information-Geometric Approach for a One-Sided Truncated Exponential Family. [PDF]

Entropy (Basel), 2023
Yoshioka M, Tanaka F.
europepmc   +1 more source

On Almost Norden Statistical Manifolds. [PDF]

Entropy (Basel), 2022
Samereh L, Peyghan E, Mihai I.
europepmc   +1 more source