<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Pseudo-slant submanifolds in cosymplectic space forms

Department of Statistic, Faculty of Arts and Sciences, Amasya University, Turkey

Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, Turkey

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Pseudo-slant submanifolds in cosymplectic space forms"}

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...

Pseudo-slant submanifolds in cosymplectic space forms

Published Online: Aug 02, 2016

Page range: 53 - 74

Received: Jun 10, 2015

DOI: https://doi.org/10.1515/ausm-2016-0004

Keywords
cosymplectic manifold, cosymplectic space form, pseudo-slant submanifold

© 2016 Süleyman Dirik et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Pseudo-slant submanifolds in cosymplectic space forms

Published Online: Aug 02, 2016

Page range: 53 - 74

Received: Jun 10, 2015

DOI: https://doi.org/10.1515/ausm-2016-0004

Keywordscosymplectic manifold, cosymplectic space form, pseudo-slant submanifold

© 2016 Süleyman Dirik et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
cosymplectic manifold, cosymplectic space form, pseudo-slant submanifold