《Surveys in Geometric Analysis2024（幾何分析綜述2024）》由田剛院士主編，主要介紹了幾何分析領(lǐng)域近年來的*新研究進展，內(nèi)容包括對稱空間中*小*面、具有非負Ricci*率的完全K¨ahler流形、體積猜想、子流形、偏微分方程和黎曼幾何、不變體系、幾何可變體系、瞬變體系和剛片、自由度與辛幾何、代數(shù)幾何和物理中的超弦理論、Kaehler-Ricci孤立子唯一性，調(diào)和映射緊性，高余維平均*率流等幾何分析重點研究方向的前沿、熱點。 《Surveys in Geometric Analysis2024（幾何分析綜述2024）》適合基礎(chǔ)數(shù)學，特別是幾何分析領(lǐng)域的高年級本科生、研究生及教師參考。
作者簡介
暫缺《幾何分析綜述2024（英文版）》作者簡介
圖書目錄
Contents Prologue Split-type Canonical Metrics and Related Geometric PDEs Hao Fang and Joshua Jordan 1 The Generalized Kahler Calabi-Yau Problem Xin Fu 13 Advances in the Volume Conjectures Huabin Ge and Chuwen Wang 26 Recent Progress on Austere Submanifolds Jianquan Ge and Yi Zhou 42 Multi-marginal Optimal Transport on Metric Measure Spaces Bangxian Han， Dengyu Liu， Zhuonan Zhu 56 Foliation of Area Minimizing Hypersurfaces in Asymptotically Flat Manifolds and Schoen’s Conjecture SHIHANG He， YUGUANG SHI， HAOBIN Yu 74 Classification and Uniqueness of Solutions to the Isotropic Lp Dual Minkowski Problem Haizhong Li and Yao Wan 86 Index and Total Curvature of Minimal Surfaces in Nonpositively Curved Symmetric Spaces QlONGLlNG Li 112 Recent Results on Complete Kahler Manifolds with Nonnegative Ricci Curvature Gang Liu 124 A Survey of Counterexamples to Regularity and Bernstein Property for Complex Monge-Ampere Equations ——JlAXIANG WANG AND WENLONG WANG 137 Kahler-Ricci Solitons and Optimal Degenerations of Fano Manifolds Linsheng Wang 152 The Partial Legendre Transform in Monge-Ampere Equations Ling Wang and Bin Zhou 161 On the Structure of Compact Kahler Manifolds with Nonnegative Holomorphic Sectional Curvature SHIYU ZHANG 178 Examples Related to Ricci Limit Spaces and Topology Shengxuan Zhou 186 The Existence Problem for Noncompact Completed Convex Sets in a Cone Baocheng Zhu 195 Calabi-Yau Type Theorem for Manifolds with Nonnegative Scalar Curvature Jintian Zhu 211
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