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

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

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, w...

Full description

Bibliographic Details
Main Authors: Siraj Uddin, M. Z. Ullah
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Mathematics
Subjects:
warped products
CR-slant warped product
nearly cosymplectic manifold
Online Access:https://www.mdpi.com/2227-7390/8/9/1622
id doaj-9cc5461549084b5f9e914fcc8927fb9a
record_format Article
spelling doaj-9cc5461549084b5f9e914fcc8927fb9a2020-11-25T02:31:23ZengMDPI AGMathematics2227-73902020-09-0181622162210.3390/math8091622A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic ManifoldSiraj Uddin0M. Z. Ullah1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn 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.https://www.mdpi.com/2227-7390/8/9/1622warped productsCR-slant warped productnearly cosymplectic manifold
collection DOAJ
language English
format Article
sources DOAJ
author Siraj Uddin
M. Z. Ullah
spellingShingle Siraj Uddin
M. Z. Ullah
A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
Mathematics
warped products
CR-slant warped product
nearly cosymplectic manifold
author_facet Siraj Uddin
M. Z. Ullah
author_sort Siraj Uddin
title A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
title_short A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
title_full A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
title_fullStr A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
title_full_unstemmed A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
title_sort geometric obstruction for cr-slant warped products in a nearly cosymplectic manifold
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-09-01
description 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.
topic warped products
CR-slant warped product
nearly cosymplectic manifold
url https://www.mdpi.com/2227-7390/8/9/1622
work_keys_str_mv AT sirajuddin ageometricobstructionforcrslantwarpedproductsinanearlycosymplecticmanifold
AT mzullah ageometricobstructionforcrslantwarpedproductsinanearlycosymplecticmanifold
AT sirajuddin geometricobstructionforcrslantwarpedproductsinanearlycosymplecticmanifold
AT mzullah geometricobstructionforcrslantwarpedproductsinanearlycosymplecticmanifold
_version_ 1724824994830090240

Similar Items