ON SUBMANIFOLDS OF A MANIFOLD ADMITTING $f_a(2\nu+3,-1)$ - STRUCTURE

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 121

Volume : 18 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.14
Author :
Jai Pratap Singh (B. S. N. V. P. G. College, Lucknow, INDIA)
Kripa Sindhu Prasad (Department of Mathematics, Thakur Ram Multiple Campus, Birgunj, Tribhuvan University, NEPAL)

Abstract

Psomopoulou defined and studied the Invariant submanifolds of a manifold with $f(2\nu+3,-1)$-structure. In this paper $f_a(2\nu+3,-1)$ structure has been defined and submanifolds, of a manifold with such a structure have been studied. Some interesting results have been stated and proved in this paper.

Keywords and Phrases

Riemannian Manifold, projection operator, invariant submanifold, integrability conditions.

A.M.S. subject classification

53C15, 53C40, 53D10.

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