Results 21 to 30 of about 2,023,011 (261)

On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold

Filomat, 2020
Two new types of connections, Ricci quarter-symmetric metric recurrent connection and projective Ricci quarter-symmetric metric recurrent connection, were introduced and some interesting geometrical and physical characteristics were achieved.
Zhao, Di, Jen, Cholyong, Ho, Talyun
openaire   +3 more sources

On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection

Дифференциальная геометрия многообразий фигур, 2023
In this article, a sub-Riemannian manifold of contact type is under­stood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
doaj   +1 more source

Quarter - symmetric metric connection on a Sasakian manifold

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2000
A linear metric connection on a Riemannian manifold \(M\) is called quarter-symmetric if its torsion tensor \(T\) satisfies \(T(X,Y) = \pi(Y)F(X) - \pi(X)F(Y)\) with some one-form \(\pi\) and \((1,1)\)-tensor field \(F\) on \(M\). The authors investigate the existence problem of quarter-symmetric metric connections and study curvature properties of ...
De, U. C., Sengupta, Joydeep
openaire   +3 more sources

ON A QUARTER SYMMETRIC NON-METRIC CONNECTION IN A KENMOTSU MANIFOLDS [PDF]

International Journal of Pure and Apllied Mathematics, 2013
In this paper we study a quarter-symmetric non-metric connection in a Kenmotsu manifold.
A. Prakash, V.K. Pandey
openaire   +1 more source

Quarter-symmetric metric connection in a Kenmotsu manifold

SUT Journal of Mathematics, 2008
We consider a quarter-symmetric metric connection in a Kenmotsu manifold. We investigate the curvature tensor and the Ricci tensor of a Ken- motsu manifold with respect to the quarter-symmetric metric connection. We show that the scalar curvature of an n-dimensional locally symmetric Kenmotsu manifold with respect to the quarter-symmetric metric ...
Sular, Sibel Cihan Özgür, De, Uday Chand   +1 more
openaire   +4 more sources

Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Advances in Mathematical Physics, 2021
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi, Mohd. Aquib, Mohd Aslam, Meraj Ali Khan   +3 more
doaj   +1 more source

Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

Mathematics, 2023
The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar, Lalnunenga Colney, Samesh Shenawy, Nasser Bin Turki   +3 more
doaj   +1 more source

Quarter - symmetric metric connection on ? (?,?) - contact metric manifold

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2006
The object of the present paper is to prove the existence of a guarter-symmetric metric connection on a Riemannian manifold and to study some properties of a guarter-symmetric metric connection on a non-Sasakian (fc,/z)-contact metric manifold.
SANJIB KUMAR JANA, A. A. SHAIKH
openaire   +2 more sources

Some Properties of Lorentzian $\alpha $-Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection [PDF]

, 2015
summary:The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $\alpha $-Sasakian manifold with respect to
BHATTACHARYYA, Arindam, DEY, Santu
core   +1 more source

Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection [PDF]

, 2015
summary:In the present paper we have obtained the necessary condition for the existence of almost pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifold admitting a type of quarter symmetric metric ...
Venkatesha, Vishnuvardhana S.V.
core   +1 more source