TOTALLY UMBILICAL SEMI-INVARIANT SUBMANIFOLDS AND CR-SUBMANIFOLDS OF A SASAKIAN MANIFOLD

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Published: Jun 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4486
Keywords:
SASAKIAN MANIFOLD CR-SUBMANIFOLDS

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S. M. KHURSEED HAIDER
Department of Mathematics, Aligarh Muslim University, Aligarh-202 002. India.
V. A. KHAN
Department of Mathematics, Aligarh Muslim University, Aligarh-202 002. India.
S. I. HUSAIN
Department of Mathematics, Aligarh Muslim University, Aligarh-202 002. India.

Abstract




In the present paper, a classification theorem for totally um- bilical semi-invariant submanifold is established. CR-submanifolds of a Sasakian space form are studied in detail, and finally a theorem for a CR- submanifold of a Sasakian manifold to be a proper contact CR-product is proved.




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How to Cite
HAIDER, S. M. K., KHAN , . V. A., & HUSAIN, S. I. (1993). TOTALLY UMBILICAL SEMI-INVARIANT SUBMANIFOLDS AND CR-SUBMANIFOLDS OF A SASAKIAN MANIFOLD. Tamkang Journal of Mathematics, 24(2), 161–172. https://doi.org/10.5556/j.tkjm.24.1993.4486
Issue
Vol. 24 No. 2 (1993)
Section
Papers
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