Steepest descent curves of convex functions on surfaces of constant curvature

DOI10.1007/s11856-011-0206-2zbMath1254.53060arXiv1003.5386OpenAlexW2012725775MaRDI QIDQ1760380

Cristina Giannotti, Andrea F. Spiro

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5386

zbMATH Keywords

convex hullrectifiable curveinvolutesurface of constant curvaturesteepest descent curve

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Self-contracted curves in Riemannian manifolds ⋮ Self-contracted curves in CAT(0)-spaces and their rectifiability ⋮ Rectifiability of self-contracted curves in the Euclidean space and applications

Cites Work

• Maximum length of steepest descent curves for quasi-convex functions
• Local and global convexity in complete Riemannian manifolds
• On the total curvature of knots
• CONVEX SETS IN RIEMANNIAN SPACES OF NON-NEGATIVE CURVATURE
• Fenchel's Theorem as a Consequence of Schur's

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