Results 111 to 120 of about 29,700 (193)

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 Almost Norden Statistical Manifolds. [PDF]

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

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 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  

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

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 ...
Bhowmick, Jyotishman, Ghosh, Bappa
openaire   +2 more sources

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections

We study a class of affine manifolds equipped with a flat affine connection $\nabla$ and a global Riemannian metric $g$ that is diagonal in local affine coordinates. These structures are closely related to \emph{Hessian manifolds}, where the metric locally arises as the Hessian of a smooth potential.
openaire   +2 more sources

SEMI-SYMMETRIC NON-METRIC CONNECTIONS ON KENMOTSU MANIFOLDS

Romanian Journal of Mathematics and Computer Science, 2015
The object of the present paper is to study a type of semi-symmetric nonmetric connection on a Kenmotsu manifold.
AJIT BARMAN, U. C. DE
doaj  

Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]

Entropy (Basel), 2022
Decu S, Vîlcu GE.
europepmc   +1 more source