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On vertices, focal curvatures and differential geometry of space curves

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Publication:2583494
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DOI10.1007/S00574-005-0040-4zbMath1084.51006arXivmath/0504132OpenAlexW2093284499WikidataQ115385771 ScholiaQ115385771MaRDI QIDQ2583494

Ricardo Uribe-Vargas

Publication date: 17 January 2006

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504132


zbMATH Keywords

singularityspace curvecausticvertexfocal curvatures


Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Curves in Euclidean and related spaces (53A04) (n)-vertex theorems via direct methods (51L15)


Related Items (10)

A characterization of involutes and evolutes of a given curve in $\mathbb{E}^{n}$ ⋮ Focal representation of \(k\)-slant helices in \(\mathbb E^{m+1}\) ⋮ Unnamed Item ⋮ On quasi focal curves with quasi frame in space ⋮ On focal curves of null Cartan curves ⋮ A pair of kinematically related space curves ⋮ Evolutes and focal surfaces of framed immersions in the Euclidean space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item







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