Symmetry (Mar 2022)

Geometric Classification of Warped Products Isometrically Immersed into Conformal Sasakian Space Froms

  • Xiaoming Fan,
  • Yanlin Li,
  • Prince Majeed,
  • Mehraj Ahmad Lone,
  • Sandeep Sharma

DOI
https://doi.org/10.3390/sym14030608
Journal volume & issue
Vol. 14, no. 3
p. 608

Abstract

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Warped products play important roles in differential geometry, general relativity, and symmetry science. In this paper, we study the warped product pointwise semi-slant submanifolds that are isometrically immersed into conformal Sasakian space form. We show that there does not exist any proper warped product pointwise semi-slant submanifolds in conformal Sasakian manifolds. We derived some geometric inequalities for squared norm of second fundamental form from a warped product pointwise semi-slant submanifold into a conformal Sasakian manifolds.

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