Overview
- Authors:
-
-
Mirjana Djoric
-
Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
-
Masafumi Okumura
-
Department of Mathematics, Saitama University, Saitama, Japan
- Presents many recent developments and results in the study of CR submanifolds not previously published
- Provides a self-contained introduction to complex differential geometry
- Provides relevant techniques, results, application, and insight into the motivations and ideas behind the theory
- Includes supplementary material: sn.pub/extras
Access this book
Other ways to access
Table of contents (23 chapters)
-
Front Matter
Pages i-viii
-
- Mirjana Djorić, Masafumi Okumura
Pages 1-6
-
- Mirjana Djorić, Masafumi Okumura
Pages 7-11
-
- Mirjana Djorić, Masafumi Okumura
Pages 13-19
-
- Mirjana Djorić, Masafumi Okumura
Pages 21-26
-
- Mirjana Djorić, Masafumi Okumura
Pages 27-37
-
- Mirjana Djorić, Masafumi Okumura
Pages 39-40
-
- Mirjana Djorić, Masafumi Okumura
Pages 41-52
-
- Mirjana Djorić, Masafumi Okumura
Pages 53-56
-
- Mirjana Djorić, Masafumi Okumura
Pages 57-63
-
- Mirjana Djorić, Masafumi Okumura
Pages 65-68
-
- Mirjana Djorić, Masafumi Okumura
Pages 69-75
-
- Mirjana Djorić, Masafumi Okumura
Pages 77-81
-
- Mirjana Djorić, Masafumi Okumura
Pages 83-87
-
- Mirjana Djorić, Masafumi Okumura
Pages 89-94
-
- Mirjana Djorić, Masafumi Okumura
Pages 95-101
-
- Mirjana Djorić, Masafumi Okumura
Pages 103-111
-
- Mirjana Djorić, Masafumi Okumura
Pages 113-118
-
- Mirjana Djorić, Masafumi Okumura
Pages 119-122
-
- Mirjana Djorić, Masafumi Okumura
Pages 123-132
About this book
Althoughsubmanifoldscomplexmanifoldshasbeenanactive?eldofstudyfor many years, in some sense this area is not su?ciently covered in the current literature. This text deals with the CR submanifolds of complex manifolds, with particular emphasis on CR submanifolds of complex projective space, and it covers the topics which are necessary for learning the basic properties of these manifolds. We are aware that it is impossible to give a complete overview of these submanifolds, but we hope that these notes can serve as an introduction to their study. We present the fundamental de?nitions and results necessary for reaching the frontiers of research in this ?eld. There are many monographs dealing with some current interesting topics in di?erential geometry, but most of these are written as encyclopedias, or research monographs, gathering recent results and giving the readers ample usefulinformationaboutthetopics. Therefore, thesekindsofmonographsare attractive to specialists in di?erential geometry and related ?elds and acce- able to professional di?erential geometers. However, for graduate students who are less advanced in di?erential geometry, these texts might be hard to read without assistance from their instructors. By contrast, the general philosophy of this book is to begin with the elementary facts about complex manifolds and their submanifolds, give some details and proofs, and introduce the reader to the study of CR submanifolds of complex manifolds; especially complex projective space. It includes only a few original results with precise proofs, while the others are cited in the reference list.
Reviews
From the reviews:
“This book contains a thorough treatment of a particular class of submanifolds, namely CR submanifolds. … This well written monograph is aimed at researchers who are interested in geometry of complex manifolds and their submanifolds and at graduate students majoring in differential geometry. The material is to a large extent self contained … . The authors explain in detail techniques which are relevant for this subject and provide motivation for many problems discussed in the book.” (Jurgen Berndt, Mathematical Reviews, Issue 2010 h)
Authors and Affiliations
-
Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
Mirjana Djoric
-
Department of Mathematics, Saitama University, Saitama, Japan
Masafumi Okumura
About the authors
Mirjana Djoric and Masafumi Okumura are widely published in the field of differential geometry. They have each contributed chapters Springer publictations and have co-published 5 papers on the topic of CR submanifolds in Springer Journals.