Mean curvature flow
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.
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Angenent torusBrian White (mathematician)Curve-shortening flowFlow (mathematics)Gauss curvature flowGeometric analysisGeometric flowGeometry FestivalGerhard HuiskenHuisken's monotonicity formulaInverse mean curvature flowIsoparametric manifoldJoel SpruckMean curvatureMinimal surfaceMu-Tao WangParabolic partial differential equationPhase-field models on graphsRicci flowRichard S. HamiltonSchur's lemma (Riemannian geometry)Sigurd AngenentTime evolution of integrals
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Mean curvature flow
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.
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En el campo de la geometría di ...... nterpretarse como «suavizado».
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In the field of differential g ...... be interpreted as "smoothing".
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Потік середньої кривини — визн ...... єю потоку стискається в точку.
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En el campo de la geometría di ...... io desarrolla singularidades .
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In the field of differential g ...... e flow develops singularities.
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Поток средней кривизны — опред ...... вием потока сжимается в точку.
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Потік середньої кривини — визн ...... єю потоку стискається в точку.
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Flujo de curvatura promedio
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Mean curvature flow
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Поток средней кривизны
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Потік середньої кривини
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