GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

2017 ◽  
Vol 20 (2) ◽  
pp. 129-161
Author(s):  
Dae Ho Jin
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection ◽  
Lightlike 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 Lightlike submanifolds of metallic semi-Riemannian manifolds

Filomat ◽  
2020 ◽  
Vol 34 (6) ◽  
pp. 1781-1794
Author(s):  
Perktaş Yüksel ◽  
Feyza Erdoğan ◽  
Bilal Acet
Keyword(s):  
Riemannian Manifolds ◽  
Integrability Conditions ◽  
Metric Connection ◽  
Lightlike Submanifolds ◽  
Lightlike Hypersurfaces

Our aim in this paper is to investigate some special types of lightlike submanifolds in metallic semi-Riemannian manifolds. We study invariant lightlike submanifolds and screen semi-invariant lightlike hypersurfaces of metallic semi-Riemannian manifolds and give examples. We obtain some conditions for the induced connection to be a metric connection and present integrability conditions for the distributions involved in the definitions of such types.

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