PSEUDO-SLANT SUBMANIFOLD IN KENMOTSU SPACE FORMS

Authors

  • Suleyman Dirik
  • Mehmet Atceken
  • Umit Yildirim

DOI:

https://doi.org/10.24297/jam.v11i10.774

Keywords:

Kenmotsu manifold, Kenmotsu space form, Slant submanifold, Pseudo-slant submanifold.

Abstract

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

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Author Biographies

Suleyman Dirik

mathematics

Mehmet Atceken

mathematics

Umit Yildirim

mathematics

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Published

2016-01-16

How to Cite

Dirik, S., Atceken, M., & Yildirim, U. (2016). PSEUDO-SLANT SUBMANIFOLD IN KENMOTSU SPACE FORMS. JOURNAL OF ADVANCES IN MATHEMATICS, 11(10), 5680–5696. https://doi.org/10.24297/jam.v11i10.774

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Articles