Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29–June 1, 2018

Book

Mean Curvature Flow

Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29–June 1, 2018

Edited by: Theodora Bourni and Mat Langford

Language: English

Published/Copyright: 2021

Published by

Become an author with De Gruyter Brill

Explore this Subject How to publish with us

This book is in the series

De Gruyter Proceedings in Mathematics

About this book

With contributions by leading experts in geometric analysis, this volume is documenting the material presented in the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, on May 29 - June 1, 2018. The central topic of the 2018 lectures was mean curvature flow, and the material in this volume covers all recent developments in this vibrant area that combines partial differential equations with differential geometry.

A collection of surveys and research articles on mean curvature flow
With key contributions by leading experts in the area
Of interest to researchers and graduate students working in partial differential equations and differential geometry

Author / Editor information

Theodora Bourni and Mat Langford, University of Tennessee, Knoxville, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Foreword Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
Introducing Mean Curvature Flow Brian Allen Requires Authentication Unlicensed Licensed	1
Self-similar solutions of mean curvature flow Jacob Bernstein Requires Authentication Unlicensed Licensed	26
Ancient solutions in geometric flows Sigurd Angenent and Natasa Sesum Requires Authentication Unlicensed Licensed	47
An extension to the Morse energy gradient flow Ian M. Adelstein Requires Authentication Unlicensed Licensed	67
Regularity of non-compact inverse mean curvature flow Beomjun Choi Requires Authentication Unlicensed Licensed	71
Area preserving curve shortening flow Friederike Dittberner Requires Authentication Unlicensed Licensed	75
Second Order Renormalization Group Flow Christine Guenther Requires Authentication Unlicensed Licensed	81
Analysis of Velàzquez’s solution to the mean curvature flow with a type II singularity Siao-Hao Guo Requires Authentication Unlicensed Licensed	92
Some recent applications of mean curvature flow with surgery Robert Haslhofer Requires Authentication Unlicensed Licensed	93
Identifying shrinking solitons by their asymptotic geometries Brett Kotschwar Requires Authentication Unlicensed Licensed	99
Geometric singularities under the Gigli-Mantegazza flow Sajjad Lakzian Requires Authentication Unlicensed Licensed	109
Pinched ancient solutions to high codimension mean curvature flow Stephen Lynch Requires Authentication Unlicensed Licensed	116
On the unknoteddness of self shrinkers in R³ Alexander Mramor Requires Authentication Unlicensed Licensed	120
Gluing constructions for self-translating and self-shrinking surfaces under mean curvature flow Xuan Hien Nguyen Requires Authentication Unlicensed Licensed	123
The level set flow of a hypersurface in R4 of low entropy does not disconnect Shengwen Wang Requires Authentication Unlicensed Licensed	132
Application of Mean Curvature Flow for surface parametrizations Ka Wai Wong Requires Authentication Unlicensed Licensed	135

Publishing information

Pages and Images/Illustrations in book

eBook published on:

December 7, 2020

eBook ISBN:

9783110618365

Hardcover published on:

December 7, 2020

Hardcover ISBN:

9783110618181

Pages and Images/Illustrations in book

Front matter:

8

Main content:

141

Illustrations:

24

https://doi.org/10.1515/9783110618365

eBook ISBN: 9783110618365

Hardcover ISBN: 9783110618181

Keywords for this book

Krümmungsfluss; Mittlere Krümmung; Nichtlineare partielle Differentialgleichung

Audience(s) for this book

Researchers and graduate students in partial differential equations and differential geometry.

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Mean Curvature Flow

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data