Schwarz's Lemma from a differential geometric viewpoint / Kang-Tae Kim, Hanjin Lee.

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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Bibliographic Details
Main Author: Kim, Kang-Tae, 1957-
Other Authors: Lee, Hanjin
Format: eBook
Language:English
Published: Singapore : World Scientific Pub. Co. Pte. Ltd., 2010.
Series:IISc lecture notes series ; 2.
Subjects:
Online Access:Click for online access

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100 1 |a Kim, Kang-Tae,  |d 1957-  |1 https://id.oclc.org/worldcat/entity/E39PBJdWXBMFQ9h3dYJbFXxRrq 
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) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a IISc lecture notes series ;  |v 2 
504 |a Includes bibliographical references (pages 77-79) and index. 
588 0 |a Print version record. 
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. 
650 0 |a Holomorphic functions. 
650 0 |a Holomorphic mappings. 
650 0 |a Schwarz function. 
650 7 |a MATHEMATICS  |x Complex Analysis.  |2 bisacsh 
650 7 |a Holomorphic functions  |2 fast 
650 7 |a Holomorphic mappings  |2 fast 
650 7 |a Schwarz function  |2 fast 
700 1 |a Lee, Hanjin. 
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776 0 8 |i Print version:  |t Schwarz's Lemma from a Differential Geometric Viewpoint.  |d World Scientific Pub Co Inc 2010  |z 9789814324786  |w (OCoLC)644676723 
830 0 |a IISc lecture notes series ;  |v 2. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=731155  |y Click for online access 
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