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· 제목 : Extrinsic Geometric Flows (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 기하학 일반
· ISBN : 9781470464578
· 쪽수 : 790쪽
· 출판일 : 2020-03-30
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 기하학 일반
· ISBN : 9781470464578
· 쪽수 : 790쪽
· 출판일 : 2020-03-30
목차
- The heat equation
- Introduction to curve shortening
- The Gage-Hamilton-Grayson theorem
- Self-similar and ancient solutions
- Hypersurfaces in Euclidean space
- Introduction to mean curvature flow
- Mean curvature flow of entire graphs
- Huisken's theorem
- Mean convex mean curvature flow
- Monotonicity formulae
- Singularity analysis
- Noncollapsing
- Self-similar solutions
- Ancient solutions
- Gauss curvature flows
- The affine normal flow
- Flows by superaffine powers of the Gauss curvature
- Fully nonlinear curvature flows
- Flows of mean curvature type
- Flows of inverse-mean curvature type
- Bibliography
- Index
