几何组成分析几何 1

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几何分析手册(第1卷)(英文版)
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原书名：Handbook of Geometric Analysis, Vol.I
ISBN：0上架时间：出版日期：2010 年6月开本：16开页码：676版次：1-2
所属分类：
Geometric Analysis combines differential equations and differential geometry. An important aspect is to solve geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Ampere equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications. This handbook of geometric analysis provides introductions to and surveys of important topics in geometric analysis and their applications to related fields which is intend to be referred by graduate students and researchers in related areas.
Numerical Approximations to Extremal Metrics on Toric Surfaces .
R. S. Bunch, Simon K. Donaldson
1 Introduction
2 The set-up
3 Numerical algorithms: balanced metrics and refined approximations
4 Numerical results
5 Conclusions
References
Kahler Geometry on Toric Manifolds, and some other Manifolds with Large Symmetry
Simon K. Donaldson
Introduction
1 Background
2 Toric manifolds
3 Toric Fano manifolds
4 Variants of toric differential geometry
5 The Mukai-Umemura manifold and its deformations
References
Gluing Constructions of Special Lagrangian Cones
Mark Haskins, Nikolaos Kapouleas
1 Introduction
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