Schwarz's lemma from a differential geometric viewpoint

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 Authors Kim, Kang-Tae, Lee, Hanjin
Format eBook Book
LanguageEnglish
Published Singapore World Scientific Publishing Co. Pte. Ltd 2010
Bangalore, India IISc Press
World Scientific
World Scientific Publishing Company
Co-Published with Indian Institute of Science (IISc), Bangalore, India
World Scientific Publishing
Edition1
SeriesIISc lecture notes series
Subjects
Complex Analysis
Geometry, Riemannian
Holomorphic functions
Holomorphic mappings
Mathematics
Pure Mathematics
Schwarz function
SCIENCE
Manifolds
Hermitian
Schwarz's Lemma
Maximum Principle
Curvature
Holomorphic
Online AccessGet full text
ISBN9789814324786
9814324787
9814324795
9789814324793
DOI10.1142/7944

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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 information while making the whole volume as concise as ever.
Bibliography:Includes bibliographical references (p. 77-79) and index
ISBN:9789814324786
9814324787
9814324795
9789814324793
DOI:10.1142/7944