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Chen’s δ-invariants type inequalities for bi-slant submanifolds in generalized Sasakian space forms
Journal article   Peer reviewed

Chen’s δ-invariants type inequalities for bi-slant submanifolds in generalized Sasakian space forms

Siraj Uddin, Mohamd Saleem Lone and Mehraj Ahmad Lone
Journal of geometry and physics, Vol.161, p.104040
03/2021
DOI: https://doi.org/10.1016/j.geomphys.2020.104040

Abstract

[formula omitted]-invariants Bi-slant submanifold Casorati curvature Ideal submanifold Quarter-symmetric connection Sasakian manifold
In this paper, we establish optimal inequalities involving generalized δ-Casorati curvature δC(k;s−1) for the bi-slant submanifolds of generalized Sasakian space forms endowed with a quarter-symmetric connection. The equality case is discussed for ideal submanifolds. Furthermore, the special cases of derived inequality is given for C-totally real submanifolds and some other classes of submanifolds.

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