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出版时间:2009-10

出版社:高等教育出版社

以下为《几何分析最新进展(英文版)》的配套数字资源,这些资源在您购买图书后将免费附送给您:
  • 高等教育出版社
  • 9787040276022
  • 1版
  • 227498
  • 45245907-6
  • 精装
  • 特殊
  • 2009-10
  • 270
  • 229
  • 理学
  • 数学
  • O18
  • 数学类
  • 研究生(硕士、EMBA、MBA、MPA、博士)
内容简介

The launch of this Advanced Lectures in Mathematics series is aimed at keeping mathematicians informed of the latest developments in mathematics, as well as to aid in the learning of new mathematical topics by students all over the world. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. This series emphasizes the history and sources of motivation for the topics under discussion, and also gives an overview of the current status of research in each particular field. These volumes are the first source to which people will turn in order to learn new subjects and to discover the latest results of many cutting-edge fields in mathematics.

This volume is an account on recent advances in geometric analysis and related equations, including Ricci flow, affine normal flow, geometric analysis on pseudoconvex hypersurfaces, Alexandrov space, manifolds with special holonomy, and singular plateau problem. Many of the articles are distributed by leading experts in the field, and were presented at the 2007 International Conference in Geometric Analysis. This volume is intended for researchers and graduate students in geometric analysis and related areas.

目录

 Front Matter
 Huai-Dong Cao : Recent Progress on Ricci Solitons
 Jianguo Cao, Bo Dai, and Jiaqiang Mei : An Optimal Extension of Perelman's Comparison Theorem for Quadrangles and its Applications
 Der-Chen Chang and Stephen S.-TYau : Geometric Analysis on a Family of Pseudoconvex Hypersurfaces
 Shanyu Ji : A New Proof for Faran's Theorem on Maps Between B2 and B3
 Spiro Karigiannis : Some Notes on G2 and Spin(7) Geometry
 Lei Ni : Closed Type I Ancient Solutions to Ricci Flow.
 John Loftin and Mao-Pei Tsui : Limits of Solutions to a Parabolic Monge-Ampµere Equation
 Chang-Shou Lin and Chin-Lung Wang : A Function Theoretic View of the Mean Field Equations on Tori
 Siu-Cheong Lau and Naichung Conan Leung : Conformal Geometry and Special Holonomy
 Luen-Fai Tam: Exhaustion Functions on Complete Manifolds.
 Sumio Yamada : On Singular Plateau Problem