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Surveys in Geometric Analysis – Volume 4, 2020

de Gang Tian (coordination éditoriale), Qing Han (coordination éditoriale), Zhenlei Zhang (coordination éditoriale)
septembre 2024
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Présentation

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 2020 edition of the Workshop and is the fourth 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.


Sommaire

Conformal Metrics of Constant Scalar Curvature and constant Boundary Mean Curvature • • • • • • • • • • • • • • • • • • • • XUEZHANG CHEN 1

Sorne Schwarz Type Lemmas on Pseudo-Hermitian Manifolds· • • • • • YUXIN DONG 13 

Curvature Flows in Hyperbolic Space and Their Applications • • • • YINGXIANG Hu and HAIZHONG LI 30

Localization of r-Invariants and Differential K-Theory • • • • • • • • • • Bo LIU and XIAONAN MA 52

A Brief Survey on Gromov-Hausdorff Convergence of Kahler Manifolds• • • • • • • • GANG LIU 63

The Relative Isoperimetric Inequality • • LEI LIU, GUOFANG WANG and LIANGJUN WENG 75

An Eigenvalue Estimate for the 8-Laplacian Associated to a Line Bundle with Singular Metrics • • • • • JINGCAO Wu 91

Stability Thresholds and Canonical Metrics • • • • • • • • KEWEI ZHANG 106


Compléments

Caractéristiques

Langue(s) : Anglais

Public(s) : Etudiants

Editeur : EDP Sciences & Science Press

Collection : Surveys in Geometric Analysis

Publication : 5 septembre 2024

EAN13 (papier) : 9782759836574

Référence eBook [PDF] : L36581

EAN13 eBook [PDF] : 9782759836581

Intérieur : Noir & blanc

Nombre de pages eBook [PDF] : 138

Taille(s) : 38 Mo (PDF)

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