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ON f-KENMOTSU MANIFOLDS AND THEIR SUBMANIFOLDS WITH QUARTER SYMMETRIC METRIC CONNECTIONS [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
The object of the present paper is to study invariant submanifolds of f-Kenmotsu manifolds with respect to quarter symmetric metric connections. Some necessary and sufficient conditions for such submanifolds to be totally geodesic have been deduced. Also we construct an example of a submanifold of a five-dimensional f-Kenmotsu manifold to justify our ...
Sarkar, Avijit, Biswas, Nirmal
openaire   +2 more sources

Results on para-Sasakian manifold admitting a quarter symmetric metric connection

open access: yesCubo, 2020
In this paper we have studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudosymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection and constructed examples of 3-dimensional and 5-dimensional para-Sasakian ...
Vishnuvardhana S.V., Venkatesha
doaj   +1 more source

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

open access: yesFilomat, 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

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

open access: yes, 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

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

Quarter - symmetric metric connection on a Sasakian manifold

open access: yesCommunications, 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

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

open access: yes, 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

Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms

open access: yesAxioms, 2022
In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li   +3 more
doaj   +1 more source

On a Quarter-Symmetric Projective Conformal Connection

open access: yesInternational Electronic Journal of Geometry, 2017
We introduce a class of quarter-symmetric projective conformal connections, and study thegeometrical properties of a manifold associated with this connection. The Schur’s theoremcorresponding to the quarter-symmetric projective conformal connection is derived.
TANG, Wanxiao   +3 more
openaire   +3 more sources

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

open access: yesInternational 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

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