CR Submanifolds of Complex Projective Space [recurso electrónico] / by Mirjana Djoric, Masafumi Okumura.

Por: Djoric, Mirjana [author.]Colaborador(es): Okumura, Masafumi [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt ; 19Editor: New York, NY : Springer New York, 2010Descripción: VIII, 176p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441904348Tema(s): Mathematics | Global analysis | Differential equations, partial | Global differential geometry | Mathematics | Differential Geometry | Global Analysis and Analysis on Manifolds | Several Complex Variables and Analytic SpacesFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 516.36 Clasificación LoC:QA641-670Recursos en línea: Libro electrónicoTexto
Contenidos:
Complex manifolds -- Almost complex structure -- Complex vector spaces, complexification -- Kähler manifolds -- Structure equations of a submanifold -- Submanifolds of a Euclidean space -- Submanifolds of a complex manifold -- The Levi form -- The principal circle bundle S(P(C), S) -- Submersion and immersion -- Hypersurfaces of a Riemannian manifold of constant curvature -- Hypersurfaces of a sphere -- Hypersurfaces of a sphere with parallel shape operator -- Codimension reduction of a submanifold -- CR submanifolds of maximal CR dimension -- Real hypersurfaces of a complex projective space -- Tubes over submanifolds -- Levi form of CR submanifolds of maximal CR dimension of a complex space form -- Eigenvalues of the shape operator of CR submanifolds of maximal CR dimension of a complex space form -- CR submanifolds of maximal CR dimension satisfying the condition (, ) + (, ) = 0 -- Contact CR submanifolds of maximal CR dimension -- Invariant submanifolds of real hypersurfaces of complex space forms -- The scalar curvature of CR submanifolds of maximal CR dimension.
En: Springer eBooksResumen: This book covers the necessary topics for learning the basic properties of complex manifolds and their submanifolds, offering an easy, friendly, and accessible introduction into the subject while aptly guiding the reader to topics of current research and to more advanced publications. The book begins with an introduction to the geometry of complex manifolds and their submanifolds and describes the properties of hypersurfaces and CR submanifolds, with particular emphasis on CR submanifolds of maximal CR dimension. The second part contains results which are not new, but recently published in some mathematical journals. The final part contains several original results by the authors, with complete proofs. Key features of "CR Submanifolds of Complex Projective Space": - Presents recent developments and results in the study of submanifolds previously published only in research papers. - Special topics explored include: the Kähler manifold, submersion and immersion, codimension reduction of a submanifold, tubes over submanifolds, geometry of hypersurfaces and CR submanifolds of maximal CR dimension. - Provides relevant techniques, results and their applications, and presents insight into the motivations and ideas behind the theory. - Presents the fundamental definitions and results necessary for reaching the frontiers of research in this field. This text is largely self-contained. Prerequisites include basic knowledge of introductory manifold theory and of curvature properties of Riemannian geometry. Advanced undergraduates, graduate students and researchers in differential geometry will benefit from this concise approach to an important topic.
Star ratings
    Valoración media: 0.0 (0 votos)
Existencias
Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA641 -670 (Browse shelf(Abre debajo)) 1 No para préstamo 371118-2001

Complex manifolds -- Almost complex structure -- Complex vector spaces, complexification -- Kähler manifolds -- Structure equations of a submanifold -- Submanifolds of a Euclidean space -- Submanifolds of a complex manifold -- The Levi form -- The principal circle bundle S(P(C), S) -- Submersion and immersion -- Hypersurfaces of a Riemannian manifold of constant curvature -- Hypersurfaces of a sphere -- Hypersurfaces of a sphere with parallel shape operator -- Codimension reduction of a submanifold -- CR submanifolds of maximal CR dimension -- Real hypersurfaces of a complex projective space -- Tubes over submanifolds -- Levi form of CR submanifolds of maximal CR dimension of a complex space form -- Eigenvalues of the shape operator of CR submanifolds of maximal CR dimension of a complex space form -- CR submanifolds of maximal CR dimension satisfying the condition (, ) + (, ) = 0 -- Contact CR submanifolds of maximal CR dimension -- Invariant submanifolds of real hypersurfaces of complex space forms -- The scalar curvature of CR submanifolds of maximal CR dimension.

This book covers the necessary topics for learning the basic properties of complex manifolds and their submanifolds, offering an easy, friendly, and accessible introduction into the subject while aptly guiding the reader to topics of current research and to more advanced publications. The book begins with an introduction to the geometry of complex manifolds and their submanifolds and describes the properties of hypersurfaces and CR submanifolds, with particular emphasis on CR submanifolds of maximal CR dimension. The second part contains results which are not new, but recently published in some mathematical journals. The final part contains several original results by the authors, with complete proofs. Key features of "CR Submanifolds of Complex Projective Space": - Presents recent developments and results in the study of submanifolds previously published only in research papers. - Special topics explored include: the Kähler manifold, submersion and immersion, codimension reduction of a submanifold, tubes over submanifolds, geometry of hypersurfaces and CR submanifolds of maximal CR dimension. - Provides relevant techniques, results and their applications, and presents insight into the motivations and ideas behind the theory. - Presents the fundamental definitions and results necessary for reaching the frontiers of research in this field. This text is largely self-contained. Prerequisites include basic knowledge of introductory manifold theory and of curvature properties of Riemannian geometry. Advanced undergraduates, graduate students and researchers in differential geometry will benefit from this concise approach to an important topic.

19

Con tecnología Koha