Differential Geometry of Lightlike Submanifolds [recurso electrónico] / by Krishan L. Duggal, Bayram Sahin.

Por: Duggal, Krishan L [author.]Colaborador(es): Sahin, Bayram [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Frontiers in MathematicsEditor: Basel : Birkhäuser Basel, 2010Descripción: Approx. 488 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783034602518Tema(s): Mathematics | Global differential geometry | Mathematics | Differential GeometryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 516.36 Clasificación LoC:QA641-670Recursos en línea: Libro electrónicoTexto
Contenidos:
Preliminaries -- Lightlike hypersurfaces -- Applications of lightlike hypersurfaces -- Half-lightlike submanifolds -- Lightlike submanifolds -- Submanifolds of indefinite Kähler manifolds -- Submanifolds of indefinite Sasakian manifolds -- Submanifolds of indefinite quaternion Kähler manifolds -- Applications of lightlike geometry.
En: Springer eBooksResumen: This is the first systematic account of the main results in the theory of lightlike submanifolds of semi-Riemannian manifolds which have a geometric structure, such as almost Hermitian, almost contact metric or quaternion Kähler. Using these structures, the book presents interesting classes of submanifolds whose geometry is very rich. The book also includes hypersurfaces of semi-Riemannian manifolds, their use in general relativity and Osserman geometry, half-lightlike submanifolds of semi-Riemannian manifolds, lightlike submersions, screen conformal submersions, and their applications in harmonic maps. Basic constructions and definitions are presented as preliminary background in every chapter. The presentation explores applications and suggests several open questions. This self-contained monograph provides up-to-date research in lightlike geometry and is intended for graduate students and researchers just entering this field.
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA641 -670 (Browse shelf(Abre debajo)) 1 No para préstamo 373008-2001

Preliminaries -- Lightlike hypersurfaces -- Applications of lightlike hypersurfaces -- Half-lightlike submanifolds -- Lightlike submanifolds -- Submanifolds of indefinite Kähler manifolds -- Submanifolds of indefinite Sasakian manifolds -- Submanifolds of indefinite quaternion Kähler manifolds -- Applications of lightlike geometry.

This is the first systematic account of the main results in the theory of lightlike submanifolds of semi-Riemannian manifolds which have a geometric structure, such as almost Hermitian, almost contact metric or quaternion Kähler. Using these structures, the book presents interesting classes of submanifolds whose geometry is very rich. The book also includes hypersurfaces of semi-Riemannian manifolds, their use in general relativity and Osserman geometry, half-lightlike submanifolds of semi-Riemannian manifolds, lightlike submersions, screen conformal submersions, and their applications in harmonic maps. Basic constructions and definitions are presented as preliminary background in every chapter. The presentation explores applications and suggests several open questions. This self-contained monograph provides up-to-date research in lightlike geometry and is intended for graduate students and researchers just entering this field.

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