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Surveys in Geometric Analysis – Volume 1, 2017

by Gang Tian (editorial coordination), Qing Han (editorial coordination), Zhenlei Zhang (editorial coordination)
september 2024
250 pages Download after purchase
57,99 €
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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 2017 edition of the Workshop and is the first 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

Contents

On Convex Hypersurfaces in Hyperbolic Space   • • VINCENT BONINI, SHIGUANG MA, AND Jrn QING 1

Critical Radius and Supremum of Random Spherical Harmonies· • • • • RENJIE FENG 23

On the Deformation of Cone Metrics: An Overview • • • • • HUABIN GE, WENSHUAI JIANG 34

Regularity of Optimal Transport· • • • • • YUXIN GE 54

Recent Progress on Compactness of Minimal Surfaces with Free Boundary • • • • • • • • QIANG GUANG, XIN ZHOU 63

A c 2 ,a,f3 Estimate for Conie Monge-Ampère Equations·  • • • • • • • LIDING HUANG 79

Schauder Estimates and Application on Stochastic Partial Differential Equations···· JIAKUN LIU 94

The Diameter Rigidity and Generalized Join Structures in Alexandrov Geometry   • • • • • • • • XIAOCHUN RONG, YUSHENG WANG 116

Positive Scalar Curvature and Connected Sums • • GUANGXIANG Su, WEIPING ZHANG 144

lsoparametric Theory and lts Applications • • • • • • • • ZIZHOU TANG, WENJIAO YAN 151

An Extension of Weyl's Law to Singular Spaces ................................... HUI-CHUN ZHANG, XI-PING ZHU 168

Note on Equivalences for Degenerations of Calabi-Yau Manifolds·  • YUGUANG ZHANG 186

The General Kahler-Ricci Flow • • • ZHOU ZHANG 203


Compléments

Characteristics

Language(s): English

Audience(s): Students

Publisher: EDP Sciences & Science Press

Collection: Surveys in Geometric Analysis

Published: 5 september 2024

EAN13 (hardcopy): 9782759835072

Reference eBook [PDF]: L35089

EAN13 eBook [PDF]: 9782759835089

Interior: Black & white

Pages count eBook [PDF]: 250

Size: 84.9 MB (PDF)

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