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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151444.0 |
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100301s2010 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781441904348 |
|
978-1-4419-0434-8 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA641-670 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.36 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Djoric, Mirjana. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
CR Submanifolds of Complex Projective Space |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Mirjana Djoric, Masafumi Okumura. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VIII, 176p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, |
International Standard Serial Number |
1389-2177 ; |
Volume number/sequential designation |
19 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Global differential geometry. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Differential Geometry. |
|
Topical term or geographic name as entry element |
Global Analysis and Analysis on Manifolds. |
|
Topical term or geographic name as entry element |
Several Complex Variables and Analytic Spaces. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Okumura, Masafumi. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781441904331 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-0434-8 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |