描述
开 本: 16开纸 张: 胶版纸包 装: 平装是否套装: 否国际标准书号ISBN: 9787030789655
内容简介
《Surveys in Geometric Analysis 2023(几何分析综述2023)》是Surveys in Geometric Analysis 系列中的一本，是由几何分析领域优秀的科研工作者所写的综述性报告，文章汇报了几何分析领域的前沿热点。包括包括:紧Kahler流形上复hessian方程的研究、偏微分方程和黎曼几何、不变体系、几何可变体系、瞬变体系和刚片、自由度与辛几何、代数几何和物理中的超弦理论、二维非线性偏微分方程、Ricci流、Gromov-Witten不变量理论、Kaehler-Ricci流，Kaehler-Ricci孤立子唯一性，调和映射紧性，高余维平均*率流等。
目 录
Contents
Critical Allard Regularity in Dimension Two and Its Application Yuchen Bi， Jie Zhou 1
A Survey on the Complex Hessian Equation on Compact K.hler Manifolds Jianchun Chu 14
Minimal Graphs over Manifolds Qi Ding 28
Deformation Quantization and Noncommutative Differential Geometry Haoyuan Gao， Xiao Zhang 48
The Isoperimetric Problem in Riemannian Manifolds Endowed with Conformal Vector Fields Jiayu Li， Shujing Pan 69
Adiabatic Limit Formula for Bismut-Cheeger eta Forms Bo Liu， Mengqing Zhan 81
Optimal Degeneration Problem of Fano Threefolds Minghao Miao 95
Spaces with Ricci Curvature Lower Bounds Jiayin Pan， Guofang Wei 103
Harmonic Metrics and Higgs Bundles Di Wu 120
Pluriclosed Flow on Hermitian-Symplectic Manifolds Yanan Ye 134
Weyl’s Lemma on RCD(K，N)-spaces and an Application to PDEs on Rn Peng Yu， Hui-Chun Zhang， Xi-Ping Zhu 140
Quadratic Hessian Equation Yu Yuan 157
Transcendental Okounkov Bodies Kewei Zhang 178
Log Gradient Estimates for Heat Type Equations on Manifolds Qi S. Zhang 186
Critical Allard Regularity in Dimension Two and Its Application Yuchen Bi， Jie Zhou 1
A Survey on the Complex Hessian Equation on Compact K.hler Manifolds Jianchun Chu 14
Minimal Graphs over Manifolds Qi Ding 28
Deformation Quantization and Noncommutative Differential Geometry Haoyuan Gao， Xiao Zhang 48
The Isoperimetric Problem in Riemannian Manifolds Endowed with Conformal Vector Fields Jiayu Li， Shujing Pan 69
Adiabatic Limit Formula for Bismut-Cheeger eta Forms Bo Liu， Mengqing Zhan 81
Optimal Degeneration Problem of Fano Threefolds Minghao Miao 95
Spaces with Ricci Curvature Lower Bounds Jiayin Pan， Guofang Wei 103
Harmonic Metrics and Higgs Bundles Di Wu 120
Pluriclosed Flow on Hermitian-Symplectic Manifolds Yanan Ye 134
Weyl’s Lemma on RCD(K，N)-spaces and an Application to PDEs on Rn Peng Yu， Hui-Chun Zhang， Xi-Ping Zhu 140
Quadratic Hessian Equation Yu Yuan 157
Transcendental Okounkov Bodies Kewei Zhang 178
Log Gradient Estimates for Heat Type Equations on Manifolds Qi S. Zhang 186
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