In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented. Some characterizations of the base NT of Mn are offered as applications. We also look at whether the base NT is isometric to the Euclidean space Rp or the Euclidean sphere Sp, subject to some constraints on the second fundamental form and warping function.
|State||Published - 1 Jan 2022|
Bibliographical noteFunding Information:
Funding: The authors would like to express their gratitude to Deanship of Scientific Research at King Khalid University, Saudi Arabia for providing funding research group under the research grant R. G. P.1/135/42.
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
- Complex projective spaces
- Dirichlet energy
- Ordinary differential equations
- Ricci curvature
- Warped products
ASJC Scopus subject areas
- Mathematics (all)