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- Mean_curvature_flow abstract "In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of surfaces evolves under mean curvature flow if the normal component of the velocity of which a point on the surface moves is given by the mean curvature of the surface. For example, a round sphere evolves under mean curvature flow by shrinking inward uniformly (since the mean curvature vector of a sphere points inward). Except in special cases, the mean curvature flow develops singularities.Under the constraint that volume enclosed is constant, this is called surface tension flow.It is a parabolic partial differential equation, and can be interpreted as \"smoothing\".".
- Mean_curvature_flow wikiPageID "13110176".
- Mean_curvature_flow wikiPageLength "6275".
- Mean_curvature_flow wikiPageOutDegree "29".
- Mean_curvature_flow wikiPageRevisionID "695910319".
- Mean_curvature_flow wikiPageWikiLink Angenent_torus.
- Mean_curvature_flow wikiPageWikiLink Category:Differential_geometry.
- Mean_curvature_flow wikiPageWikiLink Category:Geometric_flow.
- Mean_curvature_flow wikiPageWikiLink Convolution.
- Mean_curvature_flow wikiPageWikiLink Curve-shortening_flow.
- Mean_curvature_flow wikiPageWikiLink Differential_geometry.
- Mean_curvature_flow wikiPageWikiLink Diffusion_equation.
- Mean_curvature_flow wikiPageWikiLink Euclidean_space.
- Mean_curvature_flow wikiPageWikiLink Extremalization.
- Mean_curvature_flow wikiPageWikiLink Geometric_flow.
- Mean_curvature_flow wikiPageWikiLink Gerhard_Huisken.
- Mean_curvature_flow wikiPageWikiLink Glossary_of_differential_geometry_and_topology.
- Mean_curvature_flow wikiPageWikiLink Heat_kernel.
- Mean_curvature_flow wikiPageWikiLink Huiskens_monotonicity_formula.
- Mean_curvature_flow wikiPageWikiLink Inverse_mean_curvature_flow.
- Mean_curvature_flow wikiPageWikiLink Isoperimetric_inequality.
- Mean_curvature_flow wikiPageWikiLink Journal_of_Visual_Communication_and_Image_Representation.
- Mean_curvature_flow wikiPageWikiLink Kähler–Einstein_metric.
- Mean_curvature_flow wikiPageWikiLink Mathematics.
- Mean_curvature_flow wikiPageWikiLink Mean_curvature.
- Mean_curvature_flow wikiPageWikiLink Minimal_surface.
- Mean_curvature_flow wikiPageWikiLink Parabolic_partial_differential_equation.
- Mean_curvature_flow wikiPageWikiLink Riemannian_manifold.
- Mean_curvature_flow wikiPageWikiLink Singularity_(mathematics).
- Mean_curvature_flow wikiPageWikiLink Soap_film.
- Mean_curvature_flow wikiPageWikiLink Sphere.
- Mean_curvature_flow wikiPageWikiLink Surface_tension.
- Mean_curvature_flow wikiPageWikiLink Symplectic_manifold.
- Mean_curvature_flow wikiPageWikiLinkText "Mean curvature flow".
- Mean_curvature_flow wikiPageWikiLinkText "mean curvature flow".
- Mean_curvature_flow wikiPageUsesTemplate Template:Citation.
- Mean_curvature_flow wikiPageUsesTemplate Template:Reflist.
- Mean_curvature_flow subject Category:Differential_geometry.
- Mean_curvature_flow subject Category:Geometric_flow.
- Mean_curvature_flow hypernym Example.
- Mean_curvature_flow type Building.
- Mean_curvature_flow type Physic.
- Mean_curvature_flow comment "In the field of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example, smooth surfaces in 3-dimensional Euclidean space). Intuitively, a family of surfaces evolves under mean curvature flow if the normal component of the velocity of which a point on the surface moves is given by the mean curvature of the surface.".
- Mean_curvature_flow label "Mean curvature flow".
- Mean_curvature_flow sameAs Q6803617.
- Mean_curvature_flow sameAs m.02z6xb5.
- Mean_curvature_flow sameAs Q6803617.
- Mean_curvature_flow wasDerivedFrom Mean_curvature_flow?oldid=695910319.
- Mean_curvature_flow isPrimaryTopicOf Mean_curvature_flow.