Description

Book Synopsis
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.

Table of Contents
Mean-Value Properties; Maximum Principles; A Quick Introduction to Hermitian Geometry; Classical Schwarz's Lemma; Poincare' Distance and Metric; General Schwarz's Lemma by Ahlfors, Chern-Lu, Yau, Royden and Others; Almost Maximum Principle; Chern-Lu Formula; Very Recent Developments on Differential Geometric Schwarz's Lemma.

Schwarz's Lemma From A Differential Geometric

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    A Hardback by Kang-tae Kim, Hanjin Lee

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 10 December 2010
      ISBN-13 9789814324786
      978-9814324786
      ISBN-10 9814324787
      Also in:
      Complex analysis, complex variables Differential and Riemannian geometry

      Description

      Book Synopsis
      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.

      Table of Contents
      Mean-Value Properties; Maximum Principles; A Quick Introduction to Hermitian Geometry; Classical Schwarz's Lemma; Poincare' Distance and Metric; General Schwarz's Lemma by Ahlfors, Chern-Lu, Yau, Royden and Others; Almost Maximum Principle; Chern-Lu Formula; Very Recent Developments on Differential Geometric Schwarz's Lemma.

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