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

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.

Keywords

• warped products
• pointwise semi-slant submanifolds
• generalized Sasakian space forms
• Chen-Ricci inequality
• harmonic function
• Hessian function
• Dirichlet energy

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