Author: Donald A. Eisenman
Publisher: American Mathematical Soc.
ISBN: 0821812963
Category : Analytic functions
Languages : en
Pages : 84
Book Description
Intrinsic Measures on Complex Manifolds and Holomorphic Mappings
Author: Donald A. Eisenman
Publisher: American Mathematical Soc.
ISBN: 0821812963
Category : Analytic functions
Languages : en
Pages : 84
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821812963
Category : Analytic functions
Languages : en
Pages : 84
Book Description
Intrinsic measures on complex manifolds and holomorphic mappings
Intrinsic Measures on Complex Manifolds and Holomorphic Mappings
Author: D. A. Eisenman
Publisher: American Mathematical Society(RI)
ISBN: 9780821812969
Category : Complex manifolds
Languages : en
Pages : 80
Book Description
This paper offers a new tool for the study of complex manifolds--a theory of intrinsic measures on complex manifolds.
Publisher: American Mathematical Society(RI)
ISBN: 9780821812969
Category : Complex manifolds
Languages : en
Pages : 80
Book Description
This paper offers a new tool for the study of complex manifolds--a theory of intrinsic measures on complex manifolds.
Intrinsic Measures on Complex Manifolds and Holomorphic Mapping
Intrinsic Measures on Complex Manifolds and Holomorphic Mappings
Author: Donald A. Eisenman
Publisher:
ISBN: 9780608096063
Category :
Languages : en
Pages : 82
Book Description
Publisher:
ISBN: 9780608096063
Category :
Languages : en
Pages : 82
Book Description
Hyperbolic Manifolds and Holomorphic Mappings
Author: Shoshichi Kobayashi
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 192
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 192
Book Description
Stein Manifolds and Holomorphic Mappings
Author: Franc Forstnerič
Publisher: Springer Science & Business Media
ISBN: 3642222501
Category : Mathematics
Languages : en
Pages : 501
Book Description
The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.
Publisher: Springer Science & Business Media
ISBN: 3642222501
Category : Mathematics
Languages : en
Pages : 501
Book Description
The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.
From Holomorphic Functions to Complex Manifolds
Author: Klaus Fritzsche
Publisher: Springer Science & Business Media
ISBN: 146849273X
Category : Mathematics
Languages : en
Pages : 406
Book Description
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
Publisher: Springer Science & Business Media
ISBN: 146849273X
Category : Mathematics
Languages : en
Pages : 406
Book Description
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
Analysis on Real and Complex Manifolds
Author: R. Narasimhan
Publisher: Elsevier
ISBN: 0080960227
Category : Mathematics
Languages : en
Pages : 263
Book Description
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.
Publisher: Elsevier
ISBN: 0080960227
Category : Mathematics
Languages : en
Pages : 263
Book Description
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.
Several Complex Variables III
Author: G.M. Khenkin
Publisher: Springer Science & Business Media
ISBN: 364261308X
Category : Mathematics
Languages : en
Pages : 265
Book Description
We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space
Publisher: Springer Science & Business Media
ISBN: 364261308X
Category : Mathematics
Languages : en
Pages : 265
Book Description
We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space