《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。
目錄:
ContentsCritical Allard Regularity in Dimension Two and Its Application Yuchen Bi, Jie Zhou 1A Survey on the Complex Hessian Equation on Compact K.hler Manifolds Jianchun Chu 14Minimal Graphs over Manifolds Qi Ding 28Deformation Quantization and Noncommutative Differential Geometry Haoyuan Gao, Xiao Zhang 48The Isoperimetric Problem in Riemannian Manifolds Endowed with Conformal Vector Fields Jiayu Li, Shujing Pan 69Adiabatic Limit Formula for Bismut-Cheeger eta Forms Bo Liu, Mengqing Zhan 81Optimal Degeneration Problem of Fano Threefolds Minghao Miao 95Spaces with Ricci Curvature Lower Bounds Jiayin Pan, Guofang Wei 103Harmonic Metrics and Higgs Bundles Di Wu 120Pluriclosed 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 140Quadratic Hessian Equation Yu Yuan 157 Transcendental Okounkov Bodies Kewei Zhang 178 Log Gradient Estimates for Heat Type Equations on Manifolds Qi S. Zhang 186