| Description |
1 online resource (xiii, 82 pages) |
| Series |
IISc lecture notes series ; 2 |
|
IISc lecture notes series ; 2.
|
| Contents |
Series Preface; Preface; Contents; Chapter 1 Some Fundamentals; Chapter 2 Classical Schwarz's Lemma and the Poincaré Metric; Chapter 3 Ahlfors' Generalization; Chapter 4 Fundamentals of Hermitian and Kählerian Geometry; Chapter 5 Chern-Lu Formulae; Chapter 6 Tamed Exhaustion and Almost Maximum Principle; Chapter 7 General Schwarz's Lemma by Yau and Royden; Chapter 8 More Recent Developments; Bibliography; Index |
| Summary |
The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L. Ahlfors, S.S. Chern, Y.C. Lu, S.T. Yau and H.L. Royden. This volume can be approached by a reader who has basic knowledge on complex analysis and Riemannian geometry. It contains major historic differential geometric generalizations on Schwarz's lemma and provides the necessary informati |
| Bibliography |
Includes bibliographical references (pages 77-79) and index |
| Notes |
Print version record |
| Subject |
Holomorphic functions.
|
|
Holomorphic mappings.
|
|
Schwarz function.
|
|
MATHEMATICS -- Complex Analysis.
|
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Holomorphic functions
|
|
Holomorphic mappings
|
|
Schwarz function
|
| Form |
Electronic book
|
| Author |
Lee, Hanjin
|
| ISBN |
9789814324786 |
|
9814324787 |
|
9789814324793 |
|
9814324795 |
|
1283145162 |
|
9781283145169 |
|
