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- Angenent_torus abstract "In differential geometry, the Angenent torus is a smooth embedding of the torus into three-dimensional Euclidean space, with the property that it remains self-similar as it evolves under the mean curvature flow. Its existence shows that, unlike the one-dimensional curve-shortening flow (for which every embedded closed curve converges to a circle as it shrinks to a point), the two-dimensional mean-curvature flow has embedded surfaces that form more complex singularities as they collapse.".
- Angenent_torus wikiPageExternalLink watch?v=1R4doxn1spU.
- Angenent_torus wikiPageID "48546702".
- Angenent_torus wikiPageLength "6636".
- Angenent_torus wikiPageOutDegree "20".
- Angenent_torus wikiPageRevisionID "699535570".
- Angenent_torus wikiPageWikiLink Ancient_solution.
- Angenent_torus wikiPageWikiLink Angenent_oval.
- Angenent_torus wikiPageWikiLink Category:Differential_geometry_of_surfaces.
- Angenent_torus wikiPageWikiLink Closed_geodesic.
- Angenent_torus wikiPageWikiLink Curve-shortening_flow.
- Angenent_torus wikiPageWikiLink Differential_geometry.
- Angenent_torus wikiPageWikiLink Dumbbell.
- Angenent_torus wikiPageWikiLink Embedding.
- Angenent_torus wikiPageWikiLink Euclidean_space.
- Angenent_torus wikiPageWikiLink Geodesic.
- Angenent_torus wikiPageWikiLink Gerhard_Huisken.
- Angenent_torus wikiPageWikiLink Immersion_(mathematics).
- Angenent_torus wikiPageWikiLink Intermediate_value_theorem.
- Angenent_torus wikiPageWikiLink Jordan_curve_theorem.
- Angenent_torus wikiPageWikiLink Mean_curvature_flow.
- Angenent_torus wikiPageWikiLink Riemannian_manifold.
- Angenent_torus wikiPageWikiLink Sigurd_Angenent.
- Angenent_torus wikiPageWikiLink Surface_of_revolution.
- Angenent_torus wikiPageWikiLink Torus.
- Angenent_torus wikiPageWikiLinkText "Angenent torus".
- Angenent_torus wikiPageUsesTemplate Template:Harvtxt.
- Angenent_torus wikiPageUsesTemplate Template:Reflist.
- Angenent_torus subject Category:Differential_geometry_of_surfaces.
- Angenent_torus comment "In differential geometry, the Angenent torus is a smooth embedding of the torus into three-dimensional Euclidean space, with the property that it remains self-similar as it evolves under the mean curvature flow. Its existence shows that, unlike the one-dimensional curve-shortening flow (for which every embedded closed curve converges to a circle as it shrinks to a point), the two-dimensional mean-curvature flow has embedded surfaces that form more complex singularities as they collapse.".
- Angenent_torus label "Angenent torus".
- Angenent_torus wasDerivedFrom Angenent_torus?oldid=699535570.
- Angenent_torus isPrimaryTopicOf Angenent_torus.