Schwarz's lemma from a differential geometric viewpoint
Author(s)
Bibliographic Information
Schwarz's lemma from a differential geometric viewpoint
(IISc lecture notes series, 2)
World Scientific , IISc Press, c2011
- : hbk
Available at 14 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkKIM||9||1200021321013
Note
Includes bibliographical references (p. 77-79) and index
Description and Table of Contents
Description
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.
by "Nielsen BookData"