scholarly journals Screen Transversal Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

2010 ◽  
Vol 124 ◽  
pp. 145-156 ◽  
Author(s):  
Ram Shankar Gupta ◽  
Ahmad Sharfuddin
Keyword(s):  
Cosymplectic Manifolds ◽  
Lightlike Submanifolds

Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

2010 ◽  
Vol 8 (2) ◽  
pp. 215-227 ◽  
Author(s):  
Ram Shankar Gupta ◽  
Abhitosh Upadhyay ◽  
A. Sharfuddin
Keyword(s):  
Cosymplectic Manifolds ◽  
Lightlike Submanifolds

Screen slant lightlike submanifolds of indefinite cosymplectic manifolds

2011 ◽  
Vol 18 (1) ◽  
pp. 83-97
Author(s):  
Ram Shankar Gupta
Keyword(s):  
Characterization Theorem ◽  
Cosymplectic Manifold ◽  
Cosymplectic Manifolds ◽  
Characterization Theorems ◽  
Lightlike Submanifolds ◽  
Lightlike Submanifold

Abstract In this paper, we introduce the notion of a screen slant lightlike submanifold of an indefinite cosymplectic manifold. We provide a characterization theorem for the existence of a screen slant lightlike submanifold with examples. Also, we give an example of a minimal screen slant lightlike submanifold of and prove some characterization theorems.

scholarly journals Nonexistence of Totally Contact Umbilical Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

ISRN Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Rashmi Sachdeva ◽  
Rakesh Kumar ◽  
Satvinder Singh Bhatia
Keyword(s):  
Space Forms ◽  
Cosymplectic Manifolds ◽  
Characterization Theorems ◽  
Lightlike Submanifolds

We study totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds. We prove that there do not exist totally contact umbilical proper slant lightlike submanifolds in indefinite cosymplectic manifolds other than totally contact geodesic proper slant lightlike submanifolds. We also prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of indefinite cosymplectic space forms. Finally we give characterization theorems on minimal slant lightlike submanifolds.

scholarly journals OnGCR-Lightlike Product of Indefinite Cosymplectic Manifolds

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Varun Jain ◽  
Rakesh Kumar ◽  
R. K. Nagaich
Keyword(s):  
Cosymplectic Manifolds ◽  
Characterization Theorems ◽  
Lightlike Submanifolds ◽  
Lightlike Submanifold

We defineGCR-lightlike submanifolds of indefinite cosymplectic manifolds and give an example. Then, we study mixed geodesicGCR-lightlike submanifolds of indefinite cosymplectic manifolds and obtain some characterization theorems for aGCR-lightlike submanifold to be aGCR-lightlike product.

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