Envelopes of legendre curves in the unit spherical bundle over the unit sphere

DOI10.1093/qmath/hax056zbMath1401.53025OpenAlexW2775469507MaRDI QIDQ4684218

Masatomo Takahashi, Yanlin Li, Haiou Yu, Dong He Pei

Publication date: 27 September 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://muroran-it.repo.nii.ac.jp/?action=repository_action_common_download&item_id=9718&item_no=1&attribute_id=24&file_no=1

zbMATH Keywords

envelopesphere bundleLegendre curve

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (14)

Tangent developables and Darboux developables of framed curves ⋮ Spinor representation of framed Mannheim curves ⋮ Legendrian dualities and evolute-involute curve pairs of spacelike fronts in null sphere ⋮ Geometric algebra of singular ruled surfaces ⋮ Generalized osculating‐type ruled surfaces of singular curves ⋮ Frontal partner curves on unit sphere \(S^2\) ⋮ Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space ⋮ Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space ⋮ Enveloids and involutoids of spherical Legendre curves ⋮ The existence of horizontal envelopes in the 3D-Heisenberg group ⋮ Lightlike tangent developables in de Sitter 3-space ⋮ Normal and tangent maps to frontals ⋮ Envelopes of one-parameter families of framed curves in the Euclidean space ⋮ Enveloids of Legendre curves in the unit tangent bundle over the Euclidean plane

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