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http://dx.doi.org/10.11568/kjm.2020.28.2.257

QUASI HEMI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS  

Prasad, Rajendra (Department of Mathematics and Astronomy University of Lucknow)
Verma, Sandeep Kumar (Department of Mathematics and Astronomy University of Lucknow)
Kumar, Sumeet (Department of Mathematics and Astronomy University of Lucknow)
Chaubey, Sudhakar K (Section of Mathematics, Department of Information Technology Shinas College of Technology)
Publication Information
Korean Journal of Mathematics / v.28, no.2, 2020 , pp. 257-273 More about this Journal
Abstract
We introduce and study quasi hemi-slant submanifolds of almost contact metric manifolds (especially, cosymplectic manifolds) and validate its existence by providing some non-trivial examples. Necessary and sufficient conditions for integrability of distributions, which are involved in the definition of quasi hemi-slant submanifolds of cosymplectic manifolds, are obtained. Also, we investigate the necessary and sufficient conditions for quasi hemi-slant submanifolds of cosymplectic manifolds to be totally geodesic and study the geometry of foliations determined by the distributions.
Keywords
Quasi hemi-slant submanifolds; Cosymplectic manifolds; Totally geodesic submanifolds;
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Times Cited By KSCI : 2  (Citation Analysis)
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