Schwarz's Lemma from a Differential Geometric Viewpoint pdf epub mobi txt 电子书下载 2025

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出版者:World Scientific Publishing Co. Pte. Ltd.

作者:Kang-Tae Kim

出品人:

页数:100

译者:

出版时间:2011-2-9

价格:GBP 38.00

装帧:Hardcover

isbn号码:9789814324786

丛书系列:

图书标签:

数学
几何
WS
Math
Korea
DG
Schwarz Lemma
Differential Geometry
Complex Analysis
Holomorphic Functions
Riemann Mapping Theorem
Conformal Mappings
Geometric Function Theory
Complex Dynamics
Boundary Value Problems
Harmonic Functions

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具体描述

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.

作者简介

目录信息

1.Some Fundamentals
2.Classical Schwarz's Lemma and the Poincaré Metric
3.Ahlfors' Generalization
4.Fundamentals of Hermitian and Kählerian Geometry
5.Chern–Lu Formula
6.Tamed Exhaustion and Almost Maximum Principle
7.General Schwarz's Lemma by Yau and Royden
8.More Recent Developments
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