An optimized Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms

Authors

  • M.A. Lone National Institute of Technology Srinagar, India
  • P. Majeed National Institute of Technology Srinagar, India

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.1.9

Keywords:

Lorentz Kenmotsu space form, semi-slant submanifolds, δ- invariant

Abstract

In this paper, we present necessary and sufficient conditions for a Lorentz contact manifold to be a Lorentz Kenmotsu manifold. Moreover, we obtain the optimal Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms. Furthermore, the equality case of Chen inequality has been discussed.

Author Biographies

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

Department of Mathematics, 190006, Kashmir

P. Majeed, National Institute of Technology Srinagar, India

Department of Mathematics, 190006, Kashmir

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Published

2024-05-15

Issue

Vol. 4(66) No. 1 (2024)

Section

MATHEMATICS