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Schwarz's Lemma from a differential geometric viewpoint

Author: Kang-Tae Kim; Hanjin Lee
Publisher: Hackensack, NJ : World Scientific, ©2011.
Series: IISc lecture notes series, v. 2.
Edition/Format:   Print book : 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 basic  Read more...
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Document Type: Book
All Authors / Contributors: Kang-Tae Kim; Hanjin Lee
ISBN: 9789814324786 9814324787
OCLC Number: 644676723
Description: xvi, 82 pages : illustrations ; 24 cm.
Contents: Some fundamentals --
Classical Schwarz's Lemma and the Poincaré metric --
Ahlfors' generalization --
Fundamentals of Hermitian and Kählerian geometry --
Chern-Lu formulae --
Tamed exhaustion and almost maximum principle --
General Schwarz's Lemma by Yau and Royden --
More recent developments.
Series Title: IISc lecture notes series, v. 2.
Responsibility: Kang-Tae Kim, Hanjin Lee.

Abstract:

Deals with Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years. This title focuses on its differential geometric developments by  Read more...

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