A characterization of curves that Lie on a totally umbilical surface of a space form

DOI10.1007/s00022-024-00740-7MaRDI QIDQ6667555

Rafael López

Publication date: 20 January 2025

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

torsioncurvatureFrenet framespace formtotally umbilical surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Local Riemannian geometry (53B20)

Cites Work

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• An explicit formula for spherical curves with constant torsion
• Characterization of curves that Lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere
• Moving frames and the characterization of curves that lie on a surface
• Recognizing 3D objects using tactile sensing and curve invariants
• Characterisation of cylindrical curves
• Characterization of manifolds of constant curvature by spherical curves
• The equivalence problem of curves in a Riemannian manifold
• Invariants of Riemannian curves in dimensions 2 and 3
• A global formulation of the condition for a curve to lie in a sphere
• Some characterizations of Lorentzian spherical space-like curves
• There is More than One Way to Frame a Curve
• Curves orthogonal to a vector field in Euclidean spaces
• Rotation minimizing frames and spherical curves in simply isotropic and pseudo-isotropic 3-spaces

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