TY  - BOOK
AU  - Kim,Kang-Tae
AU  - Lee,Hanjin
TI  - Schwarz's Lemma from a differential geometric viewpoint
T2  - IISc lecture notes series
SN  - 9789814324786
AV  - QA331 .K56 2010eb
U1  - 515.9 23
PY  - 2010///
CY  - Singapore
PB  - World Scientific Pub. Co. Pte. Ltd.
KW  - Holomorphic functions
KW  - Holomorphic mappings
KW  - Schwarz function
KW  - Fonctions holomorphes
KW  - Applications holomorphes
KW  - Fonction de Schwarz
KW  - MATHEMATICS
KW  - Complex Analysis
KW  - bisacsh
KW  - fast
KW  - Electronic books
KW  - gtt 7
KW  - gtt
N1  - Includes bibliographical references (pages 77-79) and index; 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
N2  - 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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ER  -