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Schwarz's Lemma from a Differential Geometric Viewpoint

Author: Kang-Tae Kim; Lee Hanjin
Publisher: Singapore : World Scientific, 2010.
Series: IISc lecture notes series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kim, Kang-Tae
Schwarz's Lemma from a Differential Geometric Viewpoint
Singapore : World Scientific, c2010
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kang-Tae Kim; Lee Hanjin
ISBN: 9789814324793 9814324795 1283145162 9781283145169
OCLC Number: 741492805
Description: 1 online resource (98 p.)
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.
Series Title: IISc lecture notes series.

Abstract:

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.

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