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Schwarz's lemma from a differential geometric viewpoint / Kang-Tae Kim, Hanjin Lee.
- Format:
- Book
- Author/Creator:
- Kim, Kang-Tae.
- Series:
- IISc lecture notes series ; 2.
- IISc lecture notes series, 2010-2402 ; v. 2
- Language:
- English
- Subjects (All):
- Holomorphic functions.
- Geometry, Riemannian.
- Geometry, Differential.
- Physical Description:
- 1 online resource (98 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Hackensack, N.J. : World Scientific, 2011.
- Language Note:
- English
- 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
- 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 9786613145161
- 9781283145169
- 1283145162
- 9789814324793
- 9814324795
- OCLC:
- 741492805
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