Rectifiability property for plane paths and descent curves

DOI10.1007/s10957-020-01739-1zbMath1470.28002OpenAlexW3081995458MaRDI QIDQ831376

Marco Longinetti, Paolo Manselli, Nico Lombardi, Adriana Venturi

Publication date: 11 May 2021

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-020-01739-1

zbMATH Keywords

length of curvessets with positive reachdetoursteepest descent curves

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Ordinary differential inclusions (34A60) Length, area, volume, other geometric measure theory (28A75)

Cites Work

• Maximum length of steepest descent curves for quasi-convex functions
• Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions
• Stability in the theorem of length estimation for a curve of descent
• Metric and geometric relaxations of self-contracted curves
• Rectifiability of self-contracted curves in the Euclidean space and applications
• Curvature Measures
• Self-approaching curves
• On steepest descent curves for quasi convex families in Rn
• Plane R-curves and their steepest descent properties I
• Generalized self-approaching curves
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