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Название: Extrinsic Geometric Flows
Автор: Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford
Издательство: American Mathematical Society
Год: 2020
Формат: PDF
Страниц: 791
Размер: 18.99 МБ
Язык: English
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.