A Study of Distributions £ and of Generalized Kenmotsu Manifold

Bagewadi, C and Venkatesha, S (2018) A Study of Distributions £ and of Generalized Kenmotsu Manifold. Asian Research Journal of Mathematics, 8 (4). pp. 1-10. ISSN 2456477X

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Abstract

The object of the present paper is to study the geometry of distributions £ and ℳ of the generalized Kenmotsu manifold. Using the totally umbilicity of the distributions £ and ℳ, it is shown that if M is totally umbilical then it is totally geodesic. Also, the integrability of the distributions £ and M are proved. Further geometric conditions connecting the distribution ℳ and submanifold M are obtained.

Item Type: Article
Subjects: STM Digital Library > Mathematical Science
Depositing User: Unnamed user with email support@stmdigitallib.com
Date Deposited: 27 Apr 2023 05:55
Last Modified: 19 Sep 2024 09:14
URI: http://archive.scholarstm.com/id/eprint/988

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