A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds | Zendy

Siraj Uddin | Zendy; Cenap Özel | Zendy; Viqar Azam Khan | Zendy

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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

Author(s) -

Siraj Uddin,

Cenap Özel,

Viqar Azam Khan

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/716967

Subject(s) - submanifold , mathematics , manifold (fluid mechanics) , matrix (chemical analysis) , combinatorics , invariant (physics) , mathematical analysis , chemistry , mathematical physics , chromatography , engineering , mechanical engineering

We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold of a cosymplecticmanifold is either an anti-invariant submanifold or a 1−dimensionalsubmanifold. We show that every totally umbilical proper slant submanifoldof a cosymplectic manifold is totally geodesic

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