System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
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.
Contents:
- Some Fundamentals
- Classical Schwarz's Lemma and the Poincaré Metric
- Ahlfors' Generalization
- Fundamentals of Hermitian and Kählerian Geometry
- Chern–Lu Formula
- Tamed Exhaustion and Almost Maximum Principle
- General Schwarz's Lemma by Yau and Royden
- More Recent Developments
Readership: Graduate students and researchers in complex analysis, differential geometrics and Riemannian geometry.
