On the estimates of warping functions on isometric immersions

Abstract

Using the results of \cite{P1}, we get some estimates of warping functions for isometric immersions by changing the target manifolds by some types of Riemannian manifolds: constant space forms and Hermitian symmetric spaces. And we deal with equality cases and obtain their applications. Finally, we give some open problems.

16 pages

References in corpus (2)

• Geometry of warped product and CR-warped product submanifolds in Kaehler manifolds: modified version
• Warped products in Riemannian manifolds