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幾何分析綜述2023(英文版) 版權(quán)信息
- ISBN：9787030789655
- 條形碼：9787030789655 ; 978-7-03-078965-5
- 裝幀：平裝
- 冊數(shù)：暫無
- 重量：暫無
- 所屬分類：>>
幾何分析綜述2023(英文版) 內(nèi)容簡介
本書內(nèi)容是幾何分析領(lǐng)域優(yōu)秀的科研工作者所寫的綜述性報告，文章匯報了幾何分析領(lǐng)域的前沿?zé)狳c(diǎn)。包括包括:緊Kahler流形上復(fù)hessian方程的研究、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、二維非線性偏微分方程、Ricci流、Gromov-Witten不變量理論、Kaehler-Ricci流，Kaehler-Ricci孤立子專享性，調(diào)和映射緊性，高余維平均曲率流等。
幾何分析綜述2023(英文版) 目錄
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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