Applications of curve flows to inequalities on plane curves

DOI10.12386/a20210183MaRDI QIDQ6624072

Hong Xin Guo, Kang Jie Xia

Publication date: 25 October 2024

Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)

zbMATH Keywords

curve shortening flowentropy inequality of curvesRos theorem on \(\mathbb{R}^2\)

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (1)

The relative curvature integral inequalities of two mixed convex bodies

Cites Work

• Unnamed Item
• An inequality for the maximum curvature through a geometric flow
• An inequality for the minimum affine curvature of a plane curve
• An isoperimetric inequality with applications to curve shortening
• On some simple examples of non-parabolic curve flows in the plane
• The heat equation shrinking convex plane curves
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• On a non-local area-preserving curvature flow in the plane
• An application of the curve shortening flow on surfaces
• The reverse isoperimetric inequality for convex plane curves through a length-preserving flow
• On a perimeter-preserving plane curve flow

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