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JP Journal of Geometry and Topology

JP Journal of Geometry and Topology
Volume 19, Issue 1, Pages 1 - 18 (February 2016)
http://dx.doi.org/10.17654/GT019010001

ON SUBMANIFOLDS OF PARA-SASAKIAN MANIFOLDS

Bilal Eftal Acet, Selcen YÃ¼ksel PerktaÅŸ and Erol KÄ±lÄ±Ã§

Abstract:

Studying in submanifolds of para-Sasakian manifolds, we obtain that (1) semi-parallel and 2-semi-parallel invariant submanifolds are totally geodesic, (2) necessary and sufficient conditions for the integrability of distributions and (3) some characterizations for submanifolds to be semi-invariant.

Keywords and phrases:

para-Sasakian manifolds, invariant submanifolds, semi-invariant submanifolds.

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