Description
Book SynopsisThe 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 ContentsMean-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.
