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Article

A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold

by
Siraj Uddin
* and
M. Z. Ullah
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(9), 1622; https://doi.org/10.3390/math8091622
Submission received: 11 August 2020 / Revised: 11 September 2020 / Accepted: 14 September 2020 / Published: 19 September 2020
(This article belongs to the Special Issue Complex and Contact Manifolds)
Versions Notes

Abstract

In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y. Chen’s inequality for CR-slant warped products in nearly cosymplectic manifolds, which are the more general classes of manifolds. The equality case of this inequality is also investigated. Furthermore, the inequality is discussed for some important subclasses of CR-slant warped products.
Keywords: warped products; CR-slant warped product; nearly cosymplectic manifold warped products; CR-slant warped product; nearly cosymplectic manifold

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MDPI and ACS Style

Uddin, S.; Ullah, M.Z. A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold. Mathematics 2020, 8, 1622. https://doi.org/10.3390/math8091622

AMA Style

Uddin S, Ullah MZ. A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold. Mathematics. 2020; 8(9):1622. https://doi.org/10.3390/math8091622

Chicago/Turabian Style

Uddin, Siraj, and M. Z. Ullah. 2020. "A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold" Mathematics 8, no. 9: 1622. https://doi.org/10.3390/math8091622

APA Style

Uddin, S., & Ullah, M. Z. (2020). A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold. Mathematics, 8(9), 1622. https://doi.org/10.3390/math8091622

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