几何分析进展
作者: Stanisław Janeczko•Jun Li•Duong H. Phong
出版时间:2011-11-25
出版社:高等教育出版社
- 高等教育出版社
- 9787040331271
- 1
- 242904
- 精装
- 16开
- 2011-11-25
- 430
- 342
- 理学
- 数学
《几何分析进展》介绍了几何和理论物理领域一些重要的最新进展,内容包括MORge—AmPere方程,Kahler—Ricci流,完全非线性椭圆型和 拋物型方程,K~ihler几何中的典范度量,广义相对论中的拟局部质量概念等。《几何分析进展》深入地分析了基本的几何对象和相关问题,如Calabi —Yau流形及它们的Kahler—R.CC.流和度量性质;介绍了适用于Monge—Ampere方程的有效且完备的法;用非线性椭圆型方程的奇异解与 Einsteiiq方程的时间周期解讨论了Yang—MillS联络的性质;最后还讨论了微分几何及代数几何的辛结构。《几何分析进展》的每篇文章都是由 该领域知名专家撰写,可供微分几何、代数几何、辛几何、理论物理等相关领域的研究人员参考。
前辅文
Part I Monge-Ampµere Equations and Nonlinear Partial
Di®erential Equations Zbigniew BÃlocki: On Geodesics in the Space of KÄahler Metrics
Udo Simon and Ruiwei Xu: Geometric Modelling Techniques for the Solution of Certain Monge-Ampµere Equations
Ovidiu Savin: A Localization Property at the Boundary for Monge-Ampµere Equation
SÃlawomir Dinew and SÃlawomir KoÃlodziej: Pluripotential Estimates on Compact Hermitian Manifolds
Duong H Phong and Jacob Sturm: On Pointwise Gradient Estimates for the Complex Monge-Ampµere Equation
Luis Ca®arelli, Yan Yan Li and Louis Nirenberg: Some Remarks on Singular Solutions of Nonlinear Elliptic Equations II Symmetry and Monotonicity via Moving Planes
Part II Canonical Metrics in KÄahler Geometry
Jian Song and Yuan Yuan: The KÄahler-Ricci Flow on Singular Calabi-Yau Varieties
Valentino Tosatti: The K-energy on Small Deformations of Constant Scalar Curvature KÄahler Manifolds
Part III General Relativity and Yang-Mills Theory
Simon K Donaldson: Calabi-Yau Metrics on Kummer Surfaces as a Model Gluing Problem
De-Xing Kong and Kefeng Liu: Time-periodic Solutions of the Einstein Field Equations
Mu-Tao Wang: Quantitative Properties of the New Quasilocal Mass
Mike Scherfner, Simon Weiss and Shing-Tung Yau: A Review of the Chern Conjecture for Isoparametric Hypersurfaces in Spheres
Mark Stern: Geometry of Stable Yang-Mills Connections
Part IV Algebraic and Symplectic Methods
Kwokwai Chan and Naichung Conan Leung: Matrix Factorizations from SYZ Transformations
Dominic Joyce: On Manifolds with Corners
Goo Ishikawa and StanisÃlaw Janeczko: Symplectic Invariants of Parametric Singularities
Fabrizio Catanese: Irreducibility of the Space of Cyclic Covers of Algebraic Curves of Fixed Numerical Type and the Irreducible Components of Sing(Mg)
Meirav Amram, David Garber, Robert Shwartz and Mina Teicher :8-point | Regenerations and Applications