Geometric expansion of convex plane curves
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Publication:678803
DOI10.4310/jdg/1214458974zbMath0872.58052OpenAlexW1602049271WikidataQ115177085 ScholiaQ115177085MaRDI QIDQ678803
Publication date: 19 October 1997
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214458974
Related Items (27)
Nonlocal geometric expansion of convex planar curves ⋮ Classification of limiting shapes for isotropic curve flows ⋮ Deforming a hypersurface by Gauss curvature and support function ⋮ On the planar dual Minkowski problem ⋮ Aleksandrov reflection and nonlinear evolution equations. I: The \(n\)-sphere and \(n\)-ball ⋮ On flows that preserve parallel curves and their formation of singularities ⋮ Expansion of embedded curves with turning angle greater than \(-\pi\) ⋮ A note on expansion of convex plane curves via inverse curvature flow ⋮ Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves ⋮ Inverse curvature flows in Riemannian warped products ⋮ Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces ⋮ DEFORMING A STARSHAPED CURVE INTO A CIRCLE BY AN AREA-PRESERVING FLOW ⋮ On a simple maximum principle technique applied to equations on the circle ⋮ On a nonlinear parabolic equation arising from anisotropic plane curve evolution ⋮ Convex curves moving translationally in the plane ⋮ Using Aleksandrov reflection to estimate the location of the center of expansion ⋮ On a perimeter-preserving plane curve flow ⋮ Expanding convex immersed closed plane curves ⋮ A non-local area preserving curve flow ⋮ On a class of generalized curve flows for planar convex curves ⋮ On a non-local area-preserving curvature flow in the plane ⋮ Evolution of highly symmetric curves under the shrinking curvature flow ⋮ Evolving a convex closed curve to another one via a length-preserving linear flow ⋮ Contracting convex immersed closed plane curves with slow speed of curvature ⋮ Asymptotic closeness to limiting shapes for expanding embedded plane curves ⋮ Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves ⋮ Behavior of the gradient for solutions of parabolic equations on the circle
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