Extrinsic Geometric Flows

Language: English

Published by American Mathematical Society, US, 2020

1470464578 / 9781470464578

Series: Book 166 of 190 - Graduate Studies in Mathematics

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Extrinsic geometric flows are characterized by a submanifold evolving in an ambient space with velocity determined by its extrinsic curvature. The goal of this book is to give an extensive introduction to a few of the most prominent extrinsic flows, namely, the curve shortening flow, the mean curvature flow, the Gauss curvature flow, the inverse-mean curvature flow, and fully nonlinear flows of mean curvature and inverse-mean curvature type. The authors highlight techniques and behaviors that frequently arise in the study of these (and other) flows. To illustrate the broad applicability of the techniques developed, they also consider general classes of fully nonlinear curvature flows. The book is written at the level of a graduate student who has had a basic course in differential geometry and has some familiarity with partial differential equations. It is intended also to be useful as a reference for specialists. In general, the authors provide detailed proofs, although for some more specialized results they may only present the main ideas; in such cases, they provide references for complete proofs. A brief survey of additional topics, with extensive references, can be found in the notes and commentary at the end of each chapter.

Seller Inventory # LU-9781470464578

Title
Extrinsic Geometric Flows
Author
Bennett Chow, Christine Guenther, Mat Langford, Ben Andrews
Publisher
American Mathematical Society, US
Publication year
2020
Condition
New
Binding
Paperback
Language
English
ISBN 10
1470464578
ISBN 13
9781470464578
Series
Book 166 of 190: Graduate Studies in Mathematics

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