Pseudo-slant submanifolds in cosymplectic space forms

Süleyman Dirik; Mehmet Atçeken

doi:10.1515/ausm-2016-0004

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Pseudo-slant submanifolds in cosymplectic space forms

Acta Universitatis Sapientiae, Mathematica

Volume 8 (2016): Issue 1 (August 2016)

By: Süleyman Dirik and Mehmet Atçeken

Open Access

|Aug 2016

Abstract

In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally geodesic in cosymplectic manifolds. Finally, we give some results for totally umbilical pseudo-slant submanifold in a cosymplectic manifold and cosymplectic space form.

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Articles in this issue

DOI: https://doi.org/10.1515/ausm-2016-0004 | Journal eISSN: 2066-7752

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Language: English

Page range: 53 - 74

Submitted on: Jun 10, 2015

Published online: Aug 2, 2016

Published in print: Aug 1, 2016

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

cosymplectic manifold,

cosymplectic space form,

pseudo-slant submanifold

MSC:

53C15,

53C25,

53C17,

53D15,

53D10

Related subjects:

Mathematics,

General mathematics

© 2016 Süleyman Dirik, Mehmet Atçeken, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 8 (2016): Issue 1 (August 2016)