The equivalence problem of curves in a Riemannian manifold

DOI10.1007/s10231-013-0379-xzbMath1315.53016arXiv1207.4720OpenAlexW1969098479WikidataQ115385082 ScholiaQ115385082MaRDI QIDQ2340918

Jaime Muñoz Masqué, V. Fernández Mateos, Marco Castrillón López

Publication date: 21 April 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4720

zbMATH Keywords

Riemannian metricasymptotic stabilityisometryFrenet frameKilling vector fieldcongruenceLevi-Civita connectiondifferential invariantcomplete systems of invariantscurvatures of a curvenormal general position

Mathematics Subject Classification ID

Jets in global analysis (58A20) Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25) Curves in Euclidean and related spaces (53A04) Local Riemannian geometry (53B20) Differential invariants (local theory), geometric objects (53A55) Methods of local Riemannian geometry (53B21)

Related Items (3)

Characterization of curves that Lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere ⋮ Characterization of manifolds of constant curvature by spherical curves ⋮ Invariants of Riemannian curves in dimensions 2 and 3

Cites Work

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