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Surveys in Geometric Analysis – Volume 3, 2019

by Gang Tian (editorial coordination), Qing Han (editorial coordination), Zhenlei Zhang (editorial coordination)
september 2024
266 pages Download after purchase
58,99 €
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Presentation

Geometric analysis has been a very important and active research field at the frontier of mathematics for last few decades, and many important achievements have been made in this field. The development of geometric analysis has played a key role in establishing numerous basic theories and solving long-standing problems in mathematics. It is a field worthy of much continued exploration.

Since the late 1990s, Peking University has taken the lead in organizing the annual Workshop on Geometric Analysis with participation of universities and research institutions from China and abroad. This work refers to the 2019 edition of the Workshop and is the third volume of a dedicated book series that aims to present the progress of Chinese and global research in geometric analysis by curating a selection of high-quality papers submitted by scholars to the annual Workshop on Geometric Analysis. It provides readers with a comprehensive overview of the latest trends, methods, and breakthroughs in the field, and serves as a valuable resource for ongoing research.


Resume

Complete Noncompact Kahler Manifolds with Positive Curvature .........BING-LONG CHEN and XI-PING ZHU 1 

Extreme Gap Problems in Random Matrix Theory ................RENJIE FENG 19

 Classification on Singularity Types of Long-Time Kahler-Ricci Flow ·················· FREDERICK Tsz-Ho FONG and YASHAN ZHANG 35 

Scalar Curvatures on an Almost Hermitian Manifold····························· JIXIANG Fu and XIANCHAO ZHOU 49

The Kahler-Ricci Flow with Log Canonical Singularities ........HUABIN GE and LIANGMING SHEN 61 

Problems Related to Isoparametric Theory· ....·JIANQUAN GE 71 

Sorne Recent Results on the Lp-Minkowski Problem .....YONG HUANG, JIAKUN LIU and JIAN Lu 86 

The Lp-Minkowski Problem ..HUAIYU JIAN 112 Higher-Order Regularity of Collapsing Metrics in Kahler Geometry ...........WANGJIAN JIAN 121 

Optimal Boundary Regularity for Fast Diffusion Equations ........TIANLING JIN and JINGANG XIONG 133 

Sphere Theorems for Submanifolds in Kahler Manifold···································· JUN SUN and LINLIN SUN 145 

On the Existence of the Mabuchi Soliton.......FENG WANG 162 

Rigidity of Entire Self-Shrinking Solutions to Lagrangian Mean Curvature Flow······························ WENLONG WANG 174 

Morse Theory for Minimal Hypersurfaces and the Multiplicity One Conjecture ···························· ZHICHAO WANG and XIN ZHOU 189 

Type-II Solutions to Mean Curvature Flow ................HAOTIAN Wu and ZHOU ZHANG 204 

The Greatest Ricci Lower Bound and Stability Threshold .......KEWEI ZHANG 219 

The Hermitian-Einstein Equation on Higgs Bundle and lts Applications .......XI ZHANG 226 

Existence of Solutions to Mean Field Equations on Closed Riemann surfaces ...............CHAONA ZHU 246


Compléments

Characteristics

Language(s): English

Publisher: EDP Sciences & Science Press

Collection: Surveys in Geometric Analysis

Published: 5 september 2024

EAN13 (hardcopy): 9782759836635

Reference eBook [PDF]: L36642

EAN13 eBook [PDF]: 9782759836642

Interior: Black & white

Pages count eBook [PDF]: 266

Size: 90.1 MB (PDF)

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