Real Submanifolds in Complex Space and Their Mappings (PMS-47) /

Real Submanifolds in Complex Space and Their Mappings (PMS-47) / / M. Salah Baouendi, Linda Preiss Rothschild, Peter Ebenfelt.

This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differentia...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
VerfasserIn:
Baouendi, M. Salah,
Ebenfelt, Peter,
Rothschild, Linda Preiss,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1999
Year of Publication:2016
Language:English
Series:Princeton Mathematical Series
Online Access:
Physical Description:1 online resource (416 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • PREFACE
  • CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂN
  • CHAPTER II. ABSTRACT AND EMBEDDED CR STRUCTURES
  • CHAPTER III. VECTOR FIELDS: COMMUTATORS, ORBITS, AND HOMOGENEITY
  • CHAPTER IV. COORDINATES FOR GENERIC SUBMANIFOLDS
  • CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS
  • CHAPTER VI. GEOMETRY OF ANALYTIC DISCS
  • CHAPTER VII. BOUNDARY VALUES OF HOLOMORPHIC FUNCTIONS IN WEDGES
  • CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS
  • CHAPTER IX. HOLOMORPHIC EXTENSION OF MAPPINGS OF HYPERSURFACES
  • CHAPTER X. SEGRE SETS
  • CHAPTER XI. NONDEGENERACY CONDITIONS FOR MANIFOLDS
  • CHAPTER XII. HOLOMORPHIC MAPPINGS OF SUBMANIFOLDS
  • CHAPTER XIII. MAPPINGS OF REAL-ALGEBRAIC SUBVARIETIES
  • REFERENCES
  • INDEX

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