Article ID: MTJPAM-D-21-00037

Title: Invariant submanifold of generalized Sasakian space form with semi-symmetric metric connection


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00037; Volume 4 / Issue 1 / Year 2022, Pages 128-134

Document Type: Research Paper

Author(s): Somashekhara Ganganna a , Bhavya Kenchalingaiah b , Shivaprasanna Godekere Shivakumar c

aDepartment of Mathematics and Statiatics, M.S.Ramaiah University of Applied Sciences, Bengaluru-560058, India

bDepartment of Mathematics, Presidency University, Bengaluru-560064, India

cDepartment of Mathematics, Dr.Ambedkar institute of technology, Bengaluru-560056, India

Received: 27 May 2021, Accepted: 13 October 2021, Published: 20 January 2022.

Corresponding Author: Shivaprasanna Godekere Shivakumar (Email address: shivaprasanna28@gmail.com)

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Abstract

In this paper, we obtain necessary and sufficient condition for an Invariant submanifold of generalized Sasakian space form with semi-symmetric metric connections to be totally geodesic.

Keywords: Invariant submanifolds, generalized Sasakian space form, totally geodesic, semi-symmetric metric connection

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