Dergiler / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 - Sayı: 6

Ricci curvature for pointwise semi-slant warped products in non-Sasakian generalized Sasakian space forms and its applications

Mohd AQUİB, Siraj UDDİN, M. Hasan SHAHİD

Dergi: Hacettepe Journal of Mathematics and Statistics
Sayı: 2022 · Cilt: 51 - Sayı: 6
Sayfa: 1535–1549
DOI: —

Abstract

We find Ricci curvature bounds for pointwise semi-slant warped products submanifolds in non-Sasakian generalized Sasakian space forms in this work, and analyze the equality case of the inequality. The derived inequality is also used to develop a number of applications.

Anahtar kelimeler: warped products, pointwise semi-slant submanifolds, generalized Sasakian space forms, Chen-Ricci inequality, harmonic function, Hessian function, Dirichlet energy