Hölder parameterization of continuous quasi-self-contracted curves in complete geodesic spaces

DOI10.1007/s12220-024-01709-3zbMath1545.53049MaRDI QIDQ6572127

Zaoyi Zhang, Yepei Wen, Xiangyu Liang

Publication date: 15 July 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

doubling measureCAT(0)-spacescomplete geodesic spacesHölder parameterizationsquasi-self-contracted curves

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions
• Steepest descent curves of convex functions on surfaces of constant curvature
• Rectifiability of non Euclidean planar self-contracted curves
• Self-contracted curves in CAT(0)-spaces and their rectifiability
• Rectifiability of self-contracted curves in the Euclidean space and applications
• Self-contracted curves in Riemannian manifolds
• Self-Contracted Curves in Spaces With Weak Lower Curvature Bound
• Self-contracted curves have finite length

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