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Article

Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base

1
Department of Mathematics, Central University of Himachal Pradesh, Dharamshala 176215, Himachal Pradesh, India
2
Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia
3
Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
*
Author to whom correspondence should be addressed.
Academic Editors: Sergei D. Odintsov and Alexander Zaslavski
Symmetry 2022, 14(5), 1001; https://doi.org/10.3390/sym14051001
Received: 10 April 2022 / Revised: 29 April 2022 / Accepted: 6 May 2022 / Published: 14 May 2022
(This article belongs to the Special Issue Symmetry and Its Application in Differential Geometry and Topology)
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold. We derived the necessary and sufficient conditions for a PR-pseudo-slant submanifold of para-Kenmotsu manifold to be a PR-pseudo-slant warped product which are in terms of warping functions and shape operator. Some examples of PR-pseudo-slant warped products of para-Kenmotsu manifold are also illustrated in the article. View Full-Text
Keywords: paracontact manifold; para-Kenmotsu manifold; pseudo-slant submanifold; warped product paracontact manifold; para-Kenmotsu manifold; pseudo-slant submanifold; warped product
MDPI and ACS Style

Srivastava, S.K.; Mofarreh, F.; Kumar, A.; Ali, A. Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base. Symmetry 2022, 14, 1001. https://doi.org/10.3390/sym14051001

AMA Style

Srivastava SK, Mofarreh F, Kumar A, Ali A. Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base. Symmetry. 2022; 14(5):1001. https://doi.org/10.3390/sym14051001

Chicago/Turabian Style

Srivastava, Sachin K., Fatemah Mofarreh, Anuj Kumar, and Akram Ali. 2022. "Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base" Symmetry 14, no. 5: 1001. https://doi.org/10.3390/sym14051001

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