Schwarz's Lemma from a differential geometric viewpoint /

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 no...

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Online Access: Full text (MCPHS users only)
Main Author: Kim, Kang-Tae, 1957-
Other Authors: Lee, Hanjin
Format: Electronic eBook
Language:English
Published: Singapore : World Scientific Pub. Co. Pte. Ltd., 2010
Series:IISc lecture notes series ; 2.
Subjects:
Local Note:ProQuest Ebook Central

MARC

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245 1 0 |a Schwarz's Lemma from a differential geometric viewpoint /  |c Kang-Tae Kim, Hanjin Lee. 
260 |a Singapore :  |b World Scientific Pub. Co. Pte. Ltd.,  |c 2010. 
300 |a 1 online resource (xiii, 82 pages) 
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490 1 |a IISc lecture notes series ;  |v 2 
504 |a Includes bibliographical references (pages 77-79) and index. 
505 0 |a 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. 
520 |a 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. 
588 0 |a Print version record. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Holomorphic functions. 
650 0 |a Holomorphic mappings. 
650 0 |a Schwarz function. 
700 1 |a Lee, Hanjin. 
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