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CR Submanifolds of Complex Projective Space

  • Mirjana Djoric
  • Masafumi Okumura

Part of the Developments in Mathematics book series (DEVM, volume 19)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Mirjana Djorić, Masafumi Okumura
    Pages 1-6
  3. Mirjana Djorić, Masafumi Okumura
    Pages 7-11
  4. Mirjana Djorić, Masafumi Okumura
    Pages 13-19
  5. Mirjana Djorić, Masafumi Okumura
    Pages 21-26
  6. Mirjana Djorić, Masafumi Okumura
    Pages 27-37
  7. Mirjana Djorić, Masafumi Okumura
    Pages 39-40
  8. Mirjana Djorić, Masafumi Okumura
    Pages 41-52
  9. Mirjana Djorić, Masafumi Okumura
    Pages 53-56
  10. Mirjana Djorić, Masafumi Okumura
    Pages 57-63
  11. Mirjana Djorić, Masafumi Okumura
    Pages 65-68
  12. Mirjana Djorić, Masafumi Okumura
    Pages 69-75
  13. Mirjana Djorić, Masafumi Okumura
    Pages 77-81
  14. Mirjana Djorić, Masafumi Okumura
    Pages 83-87
  15. Mirjana Djorić, Masafumi Okumura
    Pages 89-94
  16. Mirjana Djorić, Masafumi Okumura
    Pages 95-101
  17. Mirjana Djorić, Masafumi Okumura
    Pages 103-111
  18. Mirjana Djorić, Masafumi Okumura
    Pages 113-118
  19. Mirjana Djorić, Masafumi Okumura
    Pages 139-149
  20. Mirjana Djorić, Masafumi Okumura
    Pages 151-161
  21. Mirjana Djorić, Masafumi Okumura
    Pages 163-167
  22. Back Matter
    Pages 1-7

About this book

Introduction

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.

Keywords

CR Submanifolds Complex Manifolds Complex Projective Space Contact Manifolds Djoric Kähler manifold Levi form Mirjana Riemannian Manifolds Riemannian geometry Riemannian manifold curvature differential geometry manifold

Authors and affiliations

  • Mirjana Djoric
    • 1
  • Masafumi Okumura
    • 2
  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia
  2. 2.Department of MathematicsSaitama UniversitySaitamaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-0434-8
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-0433-1
  • Online ISBN 978-1-4419-0434-8
  • Series Print ISSN 1389-2177
  • Buy this book on publisher's site