Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. I...

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Autores principales:	Yanlin Li, Ali H. Alkhaldi, Akram Ali
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/49e7b676c1404968a05d56dbcc4dcb44
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id	oai:doaj.org-article:49e7b676c1404968a05d56dbcc4dcb44
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spelling	oai:doaj.org-article:49e7b676c1404968a05d56dbcc4dcb442021-11-15T01:19:19ZGeometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms1687-913910.1155/2021/5900801https://doaj.org/article/49e7b676c1404968a05d56dbcc4dcb442021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5900801https://doaj.org/toc/1687-9139In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. It is also described how to classify warped product semi-slant submanifolds that satisfy the equality cases of inequalities (determined using boundary conditions). Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions.Yanlin LiAli H. AlkhaldiAkram AliHindawi LimitedarticlePhysicsQC1-999ENAdvances in Mathematical Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Yanlin Li Ali H. Alkhaldi Akram Ali Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
description	In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. It is also described how to classify warped product semi-slant submanifolds that satisfy the equality cases of inequalities (determined using boundary conditions). Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions.
format	article
author	Yanlin Li Ali H. Alkhaldi Akram Ali
author_facet	Yanlin Li Ali H. Alkhaldi Akram Ali
author_sort	Yanlin Li
title	Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
title_short	Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
title_full	Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
title_fullStr	Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
title_full_unstemmed	Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
title_sort	geometric mechanics on warped product semi-slant submanifold of generalized complex space forms
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/49e7b676c1404968a05d56dbcc4dcb44
work_keys_str_mv	AT yanlinli geometricmechanicsonwarpedproductsemislantsubmanifoldofgeneralizedcomplexspaceforms AT alihalkhaldi geometricmechanicsonwarpedproductsemislantsubmanifoldofgeneralizedcomplexspaceforms AT akramali geometricmechanicsonwarpedproductsemislantsubmanifoldofgeneralizedcomplexspaceforms
_version_	1718428979581419520

Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

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