PSEUDO-SLANT SUBMANIFOLDS OF AN R-SASAKIAN MANIFOLD AND THEIR PROPERTIES-Reference-Cited by-同舟云学术

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PSEUDO-SLANT SUBMANIFOLDS OF AN R-SASAKIAN MANIFOLD AND THEIR PROPERTIES

Published:2023-09-30 Issue:3 Volume:23 Page:737-750
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

SHUKLA PRASHANT KUMAR¹,VERMA GEETA¹,PATHAK VIRENDRA NATH²

Affiliation:

1. Shri Ramswaroop Memorial College of Engineering and Management, Department of Mathematics, Lucknow, India.

2. Shri Ramswaroop Memorial University, Faculty of Mathematical and Statistical Sciences, Lucknow, India.

Abstract

The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference29 articles.

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2. Khan, M.N.I, Tensor N.S., 68(2), 154, 2007.

3. Carriazo, A., New Developments in Slant Submanifolds Theory, Narosa Publishing House, New Delhi, India, 2002.

4. Cabrerizo, J.L., Carriazo, A., Fernandez, L.M., Fernandez, M., Geomeatriae Dedicate, 78 , 183, 1999.

5. Chen, B.Y., Geometry of slant submanifolds, Katholieke Universiteit Leuven, Leuven, Belgium, View at Zentralblatt Math., 1990.

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