Results 41 to 50 of about 220,418 (211)

Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

Mathematics, 2023
We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović, Milan Lj. Zlatanović   +1 more
doaj   +1 more source

∇N-EINSTEIN ALMOST CONTACT METRIC MANIFOLDS [PDF]

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2021
On an almost contact metric manifold M, an N-connection ∇N defined by the pair (∇,N), where ∇ is the interior metric connection and N: TМ → TM is an endomorphism of the tangent bundle of the manifold M such that Nξ = 0, 􀁇 􀁇 N (D) ⊂ D , is considered. Special attention is paid to the case of a skew-symmetric N-connection ∇N, which means that the torsion
openaire   +1 more source

Connections on non-symmetric (generalized) Riemannian manifold and gravity

, 2015
Connections with (skew-symmetric) torsion on non-symmetric Riemannian manifold satisfying the Einstein metricity condition (NGT with torsion) are considered.
Ivanov, Stefan, Zlatanovic, Milan
core   +1 more source

Certain Geometric Aspects of a Class of Almost Contact Structures on a Smooth Metric Manifold

, 2020
The classification of Smooth Geometrical Manifolds still remains an open problem. The concept of almost contact Riemannian manifolds provides neat descriptions and distinctions between classes of odd and even dimensional manifolds and their geometries ...
O. M. Onyango, Mengich Beatrice, Wafula A. Wanambisi   +2 more
semanticscholar   +1 more source

Some Results on Almost Contact Manifolds with B-Metric

Fundamentals of Contemporary Mathematical Sciences
In this work, almost contact B-metric manifolds and almost complex manifolds with Norden metric are considered. Almost complex manifolds with a Norden metric are obtained by the product of almost contact B-metric manifolds with R, where almost complex ...
Nilüfer Özdemir, Elanur Eren
semanticscholar   +1 more source

Hypersurface Properties of Almost Contact Kaehlerian Manifolds

Journal of Mountain Research, 2022
Tashiro (1963) studied contact structure of hypersurfaces in complex manifold. After that, Okumura (1964), (1965) deliberate cosymplectic hypersurfaces in Kaehlerian manifold with constant holomorphic sectional curvature.
U. S. Negi, M. Bisht
semanticscholar   +1 more source

On submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection

Filomat, 2019
We study submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection. We prove the induced connection on a submanifold is also quarter-symmetric non-metric connection.
Guoqing He, P. Zhao
semanticscholar   +1 more source

A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]

مجلة جامعة الانبار للعلوم الصرفة
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj   +1 more source

Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons

Fractal and Fractional, 2023
This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
doaj   +1 more source

3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem

, 2007
We present a compared analysis of some properties of 3-Sasakian and 3-cosymplectic manifolds. We construct a canonical connection on an almost 3-contact metric manifold which generalises the Tanaka-Webster connection of a contact metric manifold and we ...
De Nicola, Antonio, Montano, Beniamino Cappelletti   +1 more
core   +6 more sources