The Geometry of Slant Lightlike Submanifolds: Geometric aspects of submanifold theory - Couverture souple

Sachdeva, Rashmi; Kumar, Rakesh; Bhatia, S.S.

 
9786202307024: The Geometry of Slant Lightlike Submanifolds: Geometric aspects of submanifold theory

Synopsis

Differential geometry consists of study of curves and surfaces embedded in three dimensional Euclidean space. Manifolds are the generalizations of surfaces to arbitrarily higher dimensional spaces and provide mathematical context for understanding space in all of its manifestations. Manifolds inherit number of local properties of Euclidean space. In this book, the geometric aspects of slant lightlike submanifolds of indefinite complex and contact manifolds have been explored. The axioms of indefinite hemi-slant planes and spheres with lightlike submanifolds have been introduced. Further, the non-existence of warped product slant lightlike submanifolds have been obtained. Moreover, slant lightlike submersion from an indefinite Hermitian manifold onto a lightlike manifold have been introduced.

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Présentation de l'éditeur

Differential geometry consists of study of curves and surfaces embedded in three dimensional Euclidean space. Manifolds are the generalizations of surfaces to arbitrarily higher dimensional spaces and provide mathematical context for understanding space in all of its manifestations. Manifolds inherit number of local properties of Euclidean space. In this book, the geometric aspects of slant lightlike submanifolds of indefinite complex and contact manifolds have been explored. The axioms of indefinite hemi-slant planes and spheres with lightlike submanifolds have been introduced. Further, the non-existence of warped product slant lightlike submanifolds have been obtained. Moreover, slant lightlike submersion from an indefinite Hermitian manifold onto a lightlike manifold have been introduced.

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