几何分析综述2021（英文版） 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线

本书内容是几何分析领域*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。

Contents

Prologue

Recent Progress on the Formation of Trapped Surfaces and Black Holes Junbin Li 1

Notes on Weighted K.hler-Ricci Solitons Chi Li 18

A Monge-Ampère Type Functional and Related Prescribing Curvature Problems Qi-Rui Li 62

The Obata Type Integral Identity and Its Application Daowen Lin; Xi-Nan Ma; Qianzhong Ou 81

A Brief Survey on a Recent Generalization of Cohn-Vossen Inequality on Certain K.hler Manifolds Gang Liu 111

A Brief Summary of the Recent Global Regularity for Monge-Ampère Equations Jiakun Liu 121

Isoparametric Submanifolds and Mean Curvature Flow Xiaobo Liu 145

Isolated Singularities of the Yamabe Equation with Non-flat Metrics Jingang Xiong 181

The Optimal Exponent of Certain Moser-Trudinger Type Inequalities on Projective Manifolds Kewei Zhang 189

Lower Bound of Modified K-energy on a Fano Manifold with Degeneration for K.hler-Ricci Solitons Liang Zhang 210

Some Regularity Estimates of the Complex Monge-Ampère Equation Xi Zhang 220

Topology of Surfaces with Finite Willmore Energy Jie Zhou 235

Finite Generation and the K.hler-Ricci Soliton Degeneration Ziquan Zhuang 245

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书籍介绍

《几何分析综述2021（英文版）》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。