Real submanifolds in complex space and their mappings /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Baouendi, M. Salah, 1937-2011
Otros Autores: Ebenfelt, Peter, Rothschild, Linda Preiss, 1945-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, ©1999.
Colección:Princeton mathematical series ; 47.
Temas:
Submanifolds.
Functions of several complex variables.
Holomorphic mappings.
Sous-variétés (Mathématiques)
Fonctions de plusieurs variables complexes.
Applications holomorphes.
MATHEMATICS > Geometry > General.
Functions of several complex variables
Holomorphic mappings
Submanifolds
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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