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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Graduate students and researchers in complex analysis, differential geometrics and Riemannian geometry.
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 10 mm
Gewicht
ISBN-13
978-981-4324-78-6 (9789814324786)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Pohang Univ Of Sci & Tech, Korea
Handong Global Univ, Korea
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.