Pseudo-Slant Submanifolds of a Locally Decomposable Riemannian Manifold

Mehmet Atceken; SÃ„uleyman Dirik; Ã„Umit Yildirim

doi:10.24297/jam.v11i8.1213

Pseudo-Slant Submanifolds of a Locally Decomposable Riemannian Manifold

Authors

Mehmet Atceken Gaziosmanpasa University, Faculty of Arts and Sciences, 60100-Tokat
SÃ„uleyman Dirik Gaziosmanpasa University, Faculty of Arts and Sciences, 60100-Tokat
Ã„Umit Yildirim Gaziosmanpasa University, Faculty of Arts and Sciences, 60100-Tokat

DOI:

https://doi.org/10.24297/jam.v11i8.1213

Keywords:

Riemannian manifold, Riemannian space form, pseudo-slant submanifold.

Abstract

In this paper, we study pseudo-slant submanifolds of a locally decom- posable Riemannian manifold. We give necessary and suffcient conditions for distributions which are involued in the definition of pseudo-slant sub- manifold to be integrable. We search these type submanifolds with parallel canonical structures and we obtain some new results.

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Author Biographies

Mehmet Atceken, Gaziosmanpasa University, Faculty of Arts and Sciences, 60100-Tokat

Department of Mathematics

SÃ„uleyman Dirik, Gaziosmanpasa University, Faculty of Arts and Sciences, 60100-Tokat

Department of Mathematics

Ã„Umit Yildirim, Gaziosmanpasa University, Faculty of Arts and Sciences, 60100-Tokat

Department of Mathematics

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Published

2015-12-20

How to Cite

Atceken, M., Dirik, S., & Yildirim, Ã„Umit. (2015). Pseudo-Slant Submanifolds of a Locally Decomposable Riemannian Manifold. JOURNAL OF ADVANCES IN MATHEMATICS, 11(8), 5587–5597. https://doi.org/10.24297/jam.v11i8.1213