Hemi-Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds | Zendy

Syed Mahmood Haider | Zendy; Mamta Thakur | Zendy; Advin Advin | Zendy

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Hemi-Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

Author(s) -

Syed Mahmood Haider,

Mamta Thakur,

Advin Advin

Publication year - 2012

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.5402/2012/251213

Subject(s) - submanifold , connection (principal bundle) , pure mathematics , mathematics , manifold (fluid mechanics) , metric (unit) , characterization (materials science) , mathematical analysis , topology (electrical circuits) , geometry , physics , combinatorics , engineering , optics , mechanical engineering , operations management

We introduce and study hemi-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We give an example of hemi-slant lightlike submanifold and establish two characterization theorems for the existence of such submanifolds. We prove some theorems which ensure the existence of minimal hemi-slant lightlike submanifolds and obtain a condition under which the induced connection ∇ on M is a metric connection. An example of proper minimal hemi-slant lightlike submanifolds is also given.

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