A New Approach of Structures and Connections on Submanifolds: Certain meric and non-metric connections on submanifold - Couverture souple

Haseeb, Abdul

 
9783659131462: A New Approach of Structures and Connections on Submanifolds: Certain meric and non-metric connections on submanifold
Couverture souple
ISBN 10 : 3659131466 ISBN 13 : 9783659131462
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

To study the geometry of manifold, sometime it becomes more convenient to first embed it into a manifold whose geometry is known and then look for the geometry which is induced on it. The submanifolds of an almost Hermitian form an interesting geometric study as its almost complex structure transforms a vector to a vector perpendicular to it, which naturally gives rise to two types of submanifols, viz, invariant and anti-invariant submanifolds have been studied extensively. Invariant and anti-invariant submanifolds of Riemannian manifolds with different differential structures were studied by many geometers. In the notion of Cauchy-Riemann(CR-) submanifolds was introduced by A. Bejancu which generalizes both invariant and anti-invariant submanifolds in the sense that these submanifolds become the particular cases of CR-submanifolds. The differential geometry of CR-submanifolds has shown an increasing develepment and many differential geometers have contributed results on this topic.

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

Présentation de l'éditeur

To study the geometry of manifold, sometime it becomes more convenient to first embed it into a manifold whose geometry is known and then look for the geometry which is induced on it. The submanifolds of an almost Hermitian form an interesting geometric study as its almost complex structure transforms a vector to a vector perpendicular to it, which naturally gives rise to two types of submanifols, viz, invariant and anti-invariant submanifolds have been studied extensively. Invariant and anti-invariant submanifolds of Riemannian manifolds with different differential structures were studied by many geometers. In the notion of Cauchy-Riemann(CR-) submanifolds was introduced by A. Bejancu which generalizes both invariant and anti-invariant submanifolds in the sense that these submanifolds become the particular cases of CR-submanifolds. The differential geometry of CR-submanifolds has shown an increasing develepment and many differential geometers have contributed results on this topic.

Biographie de l'auteur

Dr. Haseeb obtained his Ph.D. degree from Integral University, Lucknow, India. He has more than seven years experience in teaching at graduate and post graduate level. He has published seven research papers in international reputed juornals. The author is presently working at the Department of Mathematics, Science College, Jazan University (KSA).

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
2012
Langue
anglais
ISBN 10 
3659131466
ISBN 13 
9783659131462
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
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