《Some Curvature Flows into Spheres（若干演化為球面的曲率流）》是2018年科學出版社出版的圖書，作者是郭順滋。
基本介紹
- 中文名：Some Curvature Flows into Spheres（若干演化為球面的曲率流）
- 作者：郭順滋
- 出版社：科學出版社
- 出版時間：2018年1月
- ISBN：9787030568915
內容簡介,圖書目錄,
內容簡介
Curvature flows are powerful tools for solving various problems in geometry and .physics, and receive more and more attention in the last decade, starting with the groundbreaking paper [51] of Harmilton who studied the Ricci flow, which describes the evolution of the metric of a manifold by its Ricci curvature tensor. Huisken [55]then considered the mean curvature fow, which describes the normal evolution of convex hypersurface in the Euclidean space by its mean curvature vector. From the viewpoint of partial differential equations (PDEs), one can distinguish different flows by the type of equation used to describe them.
圖書目錄
《博士後文庫》序言
Preface
Chapter 1 Preliminary
Chapter 2 HΒ-flow for h-convex Hypersurfaces in
Chapter 3 HΒ-flow for Pinched Hypersurfaces in
Chapter 4 Volume-preserving flow in
Chapter 5 flow in Rn+1
Chapter 6 flow in
Chapter 7 Mixed Volume Preserving flow in Rn+1
Chapter 8 Forced MCF of Submanifolds in
Bibliography
編後記
