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内容推荐 本书内容是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孤立子专享性,调和映射紧性,高余维平均曲率流等。 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 |