Rotation Minimizing Vector Fields and Frames in Riemannian Manifolds

DOI10.1007/978-3-319-32085-4_8zbMath1372.53036arXiv1304.7349OpenAlexW1574137849MaRDI QIDQ5354915

Fernando Etayo Gordejuela

Publication date: 6 September 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7349

zbMATH Keywords

Riemannian manifoldnormal connectionrotation minimizing

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

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 ⋮ Generalized Bishop frames of regular curves in \(\mathbb{E}^4 \) ⋮ Curves orthogonal to a vector field in Euclidean spaces ⋮ Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds ⋮ Characterization of manifolds of constant curvature by spherical curves ⋮ Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame ⋮ Characterization of manifolds of constant curvature by ruled surfaces

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