Nonexistence of Totally Contact Umbilical Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds | Zendy

Rashmi Sachdeva | Zendy; Rakesh Kumar | Zendy; S. S. Bhatia | Zendy

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

Author(s) -

Rashmi Sachdeva,

Rakesh Kumar,

S. S. Bhatia

Publication year - 2013

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.1155/2013/231869

Subject(s) - pure mathematics , totally geodesic , geodesic , characterization (materials science) , mathematics , mathematical analysis , physics , optics

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.

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