Articles liés à Geometry 0f Bi-slant submanifolds: Some geometric aspects...

Geometry 0f Bi-slant submanifolds: Some geometric aspects on submanifolds Theory - Couverture souple

Ali Khan, Meraj

 
9783846501535: Geometry 0f Bi-slant submanifolds: Some geometric aspects on submanifolds Theory
Couverture souple
ISBN 10 : 3846501530 ISBN 13 : 9783846501535
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

During my Ph.D certain aspects of submanifolds theory in the setting of complex as well as contact manifolds has been studied, in my thesis we have extended several results of submanifolds theory in more general settings. The setting of trans-Sasakian manifolds in a way unifies the two classes of manifolds namely Sasakian manifold and other Kenmotsu manifold. By studying submanifolds of a trans-Sasakian manifold, one clearly finds out the deviations in the geometric behavior of submanifold in Sasakian and kenmotsu manifolds. With this motivation we have studied slant and semi-slant submanifolds of trans-Sasakian manifold and obtained a criterion for existence of slant submanifold in a trans-Sasakian manifold. Pseudo-slant submanifold is a special case of bi-slant submanifold, we describe a method of constructing pseudo-slant submanifold in an almost contact manifold. Moreover, a formula for covariant derivative of the endomorphism T is established which ensures the existence of a pseudo-slant submanifold of a sasakian manifold. Next, we also obtained a classification of totally umbilical semi-invariant submanifolds of a nearly trans-Sasakian manifold.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

During my Ph.D certain aspects of submanifolds theory in the setting of complex as well as contact manifolds has been studied, in my thesis we have extended several results of submanifolds theory in more general settings. The setting of trans-Sasakian manifolds in a way unifies the two classes of manifolds namely Sasakian manifold and other Kenmotsu manifold. By studying submanifolds of a trans-Sasakian manifold, one clearly finds out the deviations in the geometric behavior of submanifold in Sasakian and kenmotsu manifolds. With this motivation we have studied slant and semi-slant submanifolds of trans-Sasakian manifold and obtained a criterion for existence of slant submanifold in a trans-Sasakian manifold. Pseudo-slant submanifold is a special case of bi-slant submanifold, we describe a method of constructing pseudo-slant submanifold in an almost contact manifold. Moreover, a formula for covariant derivative of the endomorphism T is established which ensures the existence of a pseudo-slant submanifold of a sasakian manifold. Next, we also obtained a classification of totally umbilical semi-invariant submanifolds of a nearly trans-Sasakian manifold.

Biographie de l'auteur

Dr. Meraj Ali Khan has been working as an assistant professor in Mathematics at the Faculty of Science , Univerity of Tabuk, Tabuk(K.S.A.) since December,2010. Prior to this assignment, he was working as an Assistant professor in Department of mathematics, Thapar University, Punjab, India. He is specialized in the field of Differential Geometry.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3846501530
ISBN 13 
9783846501535
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
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