The geometry of \(C^1\) regular curves in sphere with constrained curvature

DOI10.1007/s12220-020-00511-1zbMath1472.53008OpenAlexW3085585208MaRDI QIDQ2048283

Cong Zhou

Publication date: 5 August 2021

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

Full work available at URL: https://doi.org/10.1007/s12220-020-00511-1

zbMATH Keywords

geometry\(C^1\) regular curvesalmost everywhere existing geodesic curvatures

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Curves in Euclidean and related spaces (53A04)

Related Items (1)

On the space of \(C^1\) regular curves on sphere with constrained curvature

Cites Work

• The homotopy type of spaces of locally convex curves in the sphere
• Nondegenerate homotopies of curves on the unit 2-sphere
• Regular Curves on Riemannian Manifolds
• On the number of connected components in the space of closed nondegenerate curves on 𝑆_{𝑛}
• TOPOLOGY OF THE SPACE OF NONDEGENERATE CURVES
• Spaces of Locally Convex Curves in S^n and Combinatorics of the Group B_(n+1)^+
• ON THE COMPONENTS OF SPACES OF CURVES ON THE 2-SPHERE WITH GEODESIC CURVATURE IN A PRESCRIBED INTERVAL
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