Warped product pointwise PR-semi-slant immersions in para-Kähler manifolds

Authors

  • A. Kumar Central University of Punjab, Punjab, India
  • A. Sharma Chandigarh University, Mohali, India

DOI:

https://doi.org/10.31926/but.mif.2025.5.67.1.10

Keywords:

warped product, para-Kahler manifold, pointwise slant submanifold, pseudo-Riemannian manifold

Abstract

This study investigates the geometry of warped product pointwise PR-semi- slant immersions M in para-Kahler manifolds M̄2m that naturally englobes the warped product PR and semi-slant immersions. We first derive the non-existence of warped product Mλ ×f MT, and then by presenting a numerical example examine the presence of warped product M such that M = MT ×fMλ in M̄2m. Finally, we derive some characterizations for pointwise PR-semi-slant submanifolds to be locally warped product MT ×f Mλ in terms of shape operator and endomorphisms. The mixed totally geodesic case is also discussed. 

Author Biographies

A. Kumar, Central University of Punjab, Punjab, India

Department of Mathematics and Statistics, Bathinda-151401

A. Sharma, Chandigarh University, Mohali, India

University Institute of Science, Department of Mathematics, AIT-CSE, Punjab-140413

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Published

2025-01-14

Issue

Vol. 5(67) No. 1 (2025)

Section

MATHEMATICS