Optimal inequalities for submanifolds of Riemann manifolds of nearly quasi-constant curvature with quarter-symmetric connection

Authors

  • Z. Jabeen National Institute of Technology Srinagar, India
  • M.A. Lone National Institute of Technology Srinagar, India
  • S. Sharma Shri Mata Vaishno Devi University, Katra, India

DOI:

https://doi.org/10.31926/but.mif.2022.2.64.2.9

Keywords:

Casorati curvature, Chen inequalities, Riemannian manifolds of nearly quasi-constant curvature, quarter-symmetric connection, scalar curvature

Abstract

In this paper, we obtain Chen inequalities for submanifolds in Riemannian manifolds of nearly quasi-constant curvature with a special kind of quartersymmetric connection and discuss the equality case of the inequalities. We also obtain some Casorati inequalities for submanifolds in Riemannian manifolds of nearly quasi-constant curvature with the quarter-symmetric connection.

Author Biographies

Z. Jabeen, National Institute of Technology Srinagar, India

Department of Mathematics, Hazratbal-190006

M.A. Lone, National Institute of Technology Srinagar, India

Department of Mathematics, Hazratbal-190006

S. Sharma, Shri Mata Vaishno Devi University, Katra, India

Department of Mathematics,  J&K - 182320

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Published

2022-12-29

Issue

Vol. 2(64) No. 2 (2022)

Section

MATHEMATICS