The Resource CR Submanifolds of Complex Projective Space, by Mirjana Djoric, Masafumi Okumura, (electronic resource)

CR Submanifolds of Complex Projective Space, by Mirjana Djoric, Masafumi Okumura, (electronic resource)

Label
CR Submanifolds of Complex Projective Space
Title
CR Submanifolds of Complex Projective Space
Statement of responsibility
by Mirjana Djoric, Masafumi Okumura
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Djoric, Mirjana
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • vlK1ee81iSw
  • 63oLB72PEsE
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Okumura, Masafumi.
Series statement
Developments in Mathematics,
Series volume
19
http://library.link/vocab/subjectName
  • Global differential geometry
  • Topology
  • Global analysis
  • Differential equations, partial
  • Differential Geometry
  • Topology
  • Global Analysis and Analysis on Manifolds
  • Several Complex Variables and Analytic Spaces
Label
CR Submanifolds of Complex Projective Space, by Mirjana Djoric, Masafumi Okumura, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Complex manifolds -- Almost complex structure -- Complex vector spaces, complexification -- K#x00E4;hler 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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (170 p.)
Form of item
online
Isbn
9786612834950
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4419-0434-8
Specific material designation
remote
System control number
  • (CKB)2670000000007002
  • (EBL)510639
  • (OCoLC)567139722
  • (SSID)ssj0000372633
  • (PQKBManifestationID)11312943
  • (PQKBTitleCode)TC0000372633
  • (PQKBWorkID)10422741
  • (PQKB)11508533
  • (DE-He213)978-1-4419-0434-8
  • (MiAaPQ)EBC510639
  • (EXLCZ)992670000000007002
Label
CR Submanifolds of Complex Projective Space, by Mirjana Djoric, Masafumi Okumura, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Complex manifolds -- Almost complex structure -- Complex vector spaces, complexification -- K#x00E4;hler 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
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (170 p.)
Form of item
online
Isbn
9786612834950
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4419-0434-8
Specific material designation
remote
System control number
  • (CKB)2670000000007002
  • (EBL)510639
  • (OCoLC)567139722
  • (SSID)ssj0000372633
  • (PQKBManifestationID)11312943
  • (PQKBTitleCode)TC0000372633
  • (PQKBWorkID)10422741
  • (PQKB)11508533
  • (DE-He213)978-1-4419-0434-8
  • (MiAaPQ)EBC510639
  • (EXLCZ)992670000000007002

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