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Extrinsic geometric flows / Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford
(Graduate Studies in Mathematics ; v. 206)

Publisher (Providence, Rhode Island : American Mathematical Society)
Year [2020]
Size 1 online resource (pages cm.)
Authors *Andrews, Ben author
Chow, Bennett author
Guenther, Christine 1966- author
Langford, Mat 1987- author
Subjects LCSH:Global differential geometry
LCSH:Differential equations, Parabolic
LCSH:Flows (Differentiable dynamical systems)
LCSH:Curvature
LCSH:Geometric analysis
FREE:Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Global differential geometry [See also 51H25, 58-XX; for related bund  All Subject Search
FREE:Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Partial differential equations on manifolds; differential op  All Subject Search
FREE:Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Classical differential geometry -- Higher-dimensional and -codimensio  All Subject Search
FREE:Convex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45]  All Subject Search
FREE:Partial differential equations -- Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] -- Initial-boundary value problems for second-order parabolic equations  All Subject Search
Contents 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
Gau� curvature flows
The affine normal flow
Flows by superaffine powers of the Gau� curvature
Fully nonlinear curvature flows
Flows of mean curvature type
Flows of inverse-mean curvature type
Notes Includes bibliographical references and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2020
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=https://www.ams.org/gsm/206 Information=Contents
HTTP:URL=https://doi.org/10.1090/gsm/206 Information=Contents
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E-Book オンライン 電子ブック

AMS ebooks 9781470456863
電子リソース
EB00196136
E-Book オンライン 電子ブック

AMS ebooks 9781470456863
電子リソース
EB00196137

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Material Type E-Book
Classification LCC:QA670
DC23:516.3/62
ID 4000141783
ISBN 9781470456863

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