Kim, Kang-Tae

Schwarz's Lemma from a differential geometric viewpoint - Singapore: World Scientific, 2011. - xvi, 82p.; hbk; 24cm. - IIsc lecture notes series .

Includes bibliography and index

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.

https://www.worldscientific.com/worldscibooks/10.1142/7944#t=aboutBook

9789814324786


Classical Schwarz's Lemma
Holomorphic functions
Schwarz function
Holomorphic mappings
Riemannian geometry
Subharmonic functions

515.9 / KIM