A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold

Authors

  • KHUSHWANT SINGH School of mathematics & Computer Applications, Thapar University, Patiala, 147004, Punjab,India
  • SIRAJ UDDIN Institute of Mathematical Sciences, Faculty of Science,University of Malaya, 50603, Kuala Lumpur, Malaysia
  • MERAJ ALI KHAN Department of Mathematics, University of Tabuk, Tabuk, Kingdom of Saudi Arabia

Keywords:

Slant submanifold, totally-umbilical, totally geodesic, nearly Kaehler manifold.

Abstract

ABSTRACT

In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.

 

References

REFERENCES

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Khan, K. A., Khan V. A. & Husain S. I. 1994. Totally umbilical CR-submanifolds of a nearly

Kaehler manifold. Geometriae Dedicata, 50:47-51.

Khan, V. A. & Khan, M. A. 2007. Semi-slant submanifolds of a nearly Kaehler manifold. Turkish Journal of Mathematics, 31:1-13.

Sahin, B. 2009. Every totally umbilical proper slant submanifold of a Kaehler manifold is totally

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Publishing Company, Singapore.

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Published

03-09-2013

Issue

Vol. 40 No. 1 (2013): Kuwait Journal of Science

Section

Mathematics