Description |
1 online resource (xiii, 82 pages). |
Physical Medium |
polychrome |
Description |
text file |
Series |
IISc lecture notes series ; 2
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IISc lecture notes series ; 2.
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Bibliography |
Includes bibliographical references (pages 77-79) and index. |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Holomorphic functions.
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Holomorphic functions. |
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Holomorphic mappings.
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Holomorphic mappings. |
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Schwarz function.
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Schwarz function. |
Genre/Form |
Electronic books.
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Electronic books.
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Electronic books.
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Added Author |
Lee, Hanjin.
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Other Form: |
Print version: Schwarz's Lemma from a Differential Geometric Viewpoint. World Scientific Pub Co Inc 2010 9789814324786 (OCoLC)644676723 |
ISBN |
9789814324786 electronic book |
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9814324787 electronic book |
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9789814324793 electronic book |
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9814324795 electronic book |
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1283145162 |
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9781283145169 |
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