Curve shortening flow in a 3-dimensional pseudohermitian manifold

DOI10.1007/s00526-021-02062-xzbMath1476.53113OpenAlexW3197110266WikidataQ115386467 ScholiaQ115386467MaRDI QIDQ1981624

Yanyan Li

Publication date: 6 September 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02062-x

zbMATH Keywords

mean curvature flowHeisenberg groupself-shrinkerglobal flowsblow up of singularitytype \(I\) singularity

Mathematics Subject Classification ID

Geometric evolution equations (53E99) Flows related to mean curvature (53E10)

Related Items (1)

The differential geometry of curves in \(B^1 \times \mathbb{R}\)

Cites Work

• Curve shortening makes convex curves circular
• On the formation of singularities in the curve shortening flow
• Asymptotic behavior for singularities of the mean curvature flow
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• The shape of a figure-eight under the curve shortening flow
• Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
• Singularities of the curve shrinking flow for space curves
• Shortening space curves and flow through singularities
• Shortening embedded curves
• An application of the moving frame method to integral geometry in the Heisenberg group
• The differential geometry of curves in the Heisenberg groups
• Legendrian curve shortening flow in \(\mathbb{R}^3\)
• Closed Legendre geodesics in Sasaki manifolds
• Global differential geometry of curves in three-dimensional Heisenberg group and CR sphere
• Differential geometry and analysis on CR manifolds
• Curve shortening in a Riemannian manifold
• Curve shortening flow in arbitrary dimensional Euclidean space

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