Andrews, Ben Chow, Bennett Guenther, Christine Langford, Mat Extrinsic geometric flows 9781470464578

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Автор: Andrews, Ben Chow, Bennett Guenther, Christine Langford, Mat
Название: Extrinsic geometric flows
ISBN: 9781470464578
Издательство: Mare Nostrum (Eurospan)
Классификация:

Геометрия

Топология

ISBN-10: 1470464578
Обложка/Формат: Paperback
Страницы: 790
Вес: 1.40 кг.
Дата издания: 30.03.2020
Серия: Graduate studies in mathematics
Размер: 183 x 256 x 43
Рейтинг:
Поставляется из: Англии
Описание: 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.
Дополнительное описание: Geometry|Topology

Extrinsic geometric flows, Andrews, Ben Chow, Bennett Guenther, Christine Langford, Mat