On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection

2011 ◽  
Vol 17 (1) ◽  
Author(s):  
Lovejoy S. Das ◽  
Mobin Ahmad ◽  
Abdul Haseeb
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection ◽  
Invariant Submanifolds ◽  
Nearly Sasakian

scholarly journals On semi-invariant submanifolds of a nearly trans-Sasakian manifold admitting a semi-symmetric semi-metric connection

2013 ◽  
Vol 46 (2) ◽  
Author(s):  
Lovejoy S. Das ◽  
Mobin Ahmad ◽  
M. Danish Siddiqi ◽  
A. Haseeb
Keyword(s):  
Sasakian Manifold ◽  
Integrability Conditions ◽  
Metric Connection ◽  
Invariant Submanifolds

AbstractWe define a semi-symmetric semi-metric connection in a nearly trans-Sasakian manifold and we consider semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a semi-symmetric semi-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.

scholarly journals A note on quasi-generalized CR-lightlike geometry in indefinite nearly μ-Sasakian manifolds

2017 ◽  
Vol 14 (03) ◽  
pp. 1750045
Author(s):  
Fortuné Massamba ◽  
Samuel Ssekajja
Keyword(s):  
Existence Theorem ◽  
Sasakian Manifold ◽  
Sasakian Manifolds ◽  
Metric Connection ◽  
Nearly Sasakian ◽  
Main Ideas ◽  
Lightlike Submanifolds ◽  
Lightlike Submanifold

The concept of quasi-generalized CR-lightlike was first introduced by the authors in [Quasi generalized CR-lightlike submanifolds of indefinite nearly Sasakian manifolds, Arab. J. Math. 5 (2016) 87–101]. In this paper, we focus on ascreen and co-screen quasi-generalized CR-lightlike submanifolds of indefinite nearly [Formula: see text]-Sasakian manifold. We prove an existence theorem for minimal ascreen quasi-generalized CR-lightlike submanifolds admitting a metric connection. Classification theorems on nearly parallel and auto-parallel distributions on a co-screen quasi-generalized CR-lightlike submanifold are also given. Several examples are also constructed, where necessary, to illustrate the main ideas.

scholarly journals On a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection

2019 ◽  
Vol 57 (2) ◽  
pp. 61-76
Author(s):  
Rajendra Prasad ◽  
Shashikant Pandey ◽  
Abdul Haseeb
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection

Abstract In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.

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

Cubo (Temuco) ◽  
2020 ◽  
Vol 22 (2) ◽  
pp. 257-271
Author(s):  
S. V. Vishnuvardhana. ◽  
Venkatesha
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection

scholarly journals Infinitesimal variations of invariant submanifolds of a Sasakian manifold

1978 ◽  
Vol 1 (2) ◽  
pp. 219-236 ◽  
Author(s):  
Kentaro Yano ◽  
U-Hang Ki ◽  
Jin Suk Pak
Keyword(s):  
Sasakian Manifold ◽  
Invariant Submanifolds
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