The maximal curves and heat flow in general-affine geometry
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Publication:6123256
DOI10.1016/j.difgeo.2023.102079OpenAlexW4388688006MaRDI QIDQ6123256
Publication date: 4 March 2024
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102079
Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55) Initial-boundary value problems for higher-order parabolic systems (35K52) Higher-order geometric flows (53E40)
Cites Work
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- The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
- Flow by mean curvature of convex surfaces into spheres
- An isoperimetric inequality with applications to curve shortening
- 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
- Singularities of the curve shrinking flow for space curves
- Shortening embedded curves
- Moving coframes. II: Regularization and theoretical foundations
- On affine plane curve evolution
- Affine homogeneous surfaces in \(\mathbb{R}^ 3\) with vanishing Pick invariant
- A blow-up criterion for the curve shortening flow by surface diffusion
- The Bernstein problem for affine maximal hypersurfaces
- Moving frames and singularities of prolonged group actions
- The centro-affine invariant geometric heat flow
- Three-manifolds with positive Ricci curvature
- Optimal systems and invariant solutions for the curve shortening problem
- Feature matching and heat flow in centro-affine geometry
- Ancient solutions of the affine normal flow
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- General-affine invariants of plane curves and space curves
- Invariant submanifold flows
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- Hypersurfaces with Maximal Affinely Invariant Area
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- The affine curve-lengthening flow
- On the affine heat equation for non-convex curves
- The affine Plateau problem
- The isoperimetric inequality for a minimal submanifold in Euclidean space
- Ancient Solutions to Geometric Flows
- Affine complete locally convex hypersurfaces
- The Calabi conjecture on affine maximal surfaces
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