《Surveys in Geometric Analysis2024（几何分析综述2024）》由田刚院士主编，主要介绍了几何分析领域近年来的最新研究进展，内容包括对称空间中*小*面、具有非负Ricci*率的完全K¨ahler流形、体积猜想、子流形、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、Kaehler-Ricci孤立子唯一性，调和映射紧性，高余维平均*率流等几何分析重点研究方向的前沿、热点。 《Surveys in Geometric Analysis2024（几何分析综述2024）》适合基础数学，特别是几何分析领域的高年级本科生、研究生及教师参考。
目錄：
ContentsPrologueSplit-type Canonical Metrics and Related Geometric PDEs Hao Fang and Joshua Jordan 1The Generalized Kahler Calabi-Yau Problem Xin Fu 13Advances in the Volume Conjectures Huabin Ge and Chuwen Wang 26Recent Progress on Austere Submanifolds Jianquan Ge and Yi Zhou 42Multi-marginal Optimal Transport on Metric Measure Spaces Bangxian Han， Dengyu Liu， Zhuonan Zhu 56Foliation of Area Minimizing Hypersurfaces in Asymptotically Flat Manifolds and Schoen’s Conjecture SHIHANG He， YUGUANG SHI， HAOBIN Yu 74Classification and Uniqueness of Solutions to the Isotropic Lp Dual Minkowski Problem Haizhong Li and Yao Wan 86Index and Total Curvature of Minimal Surfaces in Nonpositively Curved Symmetric Spaces QlONGLlNG Li 112Recent Results on Complete Kahler Manifolds with Nonnegative Ricci Curvature Gang Liu 124A Survey of Counterexamples to Regularity and Bernstein Property for Complex Monge-Ampere Equations ——JlAXIANG WANG AND WENLONG WANG 137Kahler-Ricci Solitons and Optimal Degenerations of Fano Manifolds Linsheng Wang 152The Partial Legendre Transform in Monge-Ampere Equations Ling Wang and Bin Zhou 161On the Structure of Compact Kahler Manifolds with Nonnegative Holomorphic Sectional Curvature SHIYU ZHANG 178Examples Related to Ricci Limit Spaces and Topology Shengxuan Zhou 186The Existence Problem for Noncompact Completed Convex Sets in a Cone Baocheng Zhu 195Calabi-Yau Type Theorem for Manifolds with Nonnegative Scalar Curvature Jintian Zhu 211
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