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Extrinsic geometric flows / Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford.
Math/Physics/Astronomy Library QA670 .A53 2020
By Request
- Format:
- Book
- Author/Creator:
- Andrews, Ben, author.
- Chow, Bennett, author.
- Guenther, Christine (Christine Marie), 1966- author.
- Langford, Mat (Mathew), 1987- author.
- Series:
- Graduate studies in mathematics ; v. 206.
- Graduate studies in mathematics ; 206
- Language:
- English
- Subjects (All):
- Global differential geometry.
- Differential equations, Parabolic.
- Flows (Differentiable dynamical systems).
- Curvature.
- Geometric analysis.
- Physical Description:
- xxviii, 759 pages : illustrations ; 27 cm.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2020]
- Contents:
- The heat equation
- Introduction to curve shortening
- The Gage-Hamilton and Grayson theorems
- 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 super-affine powers of the Gauss curvature
- Fully nonlinear curvature flows
- Flows of mean curvature type
- Flows of inverse-mean curvature type.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9781470455965
- 147045596X
- OCLC:
- 1142030865
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