The fundamental theorem of analytic space curves and apparent singularities of Fuchsian differential equations

DOI10.2748/tmj/1178228899zbMath0543.53001OpenAlexW2045855190MaRDI QIDQ796113

Takao Sasai

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228899

zbMATH Keywords

analytic space curvesFrenet theory with singularitiesfundamental theorem for space curves

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (5)

Evolution of space curves and the special ruled surfaces with modified orthogonal frame ⋮ Second variation of superminimal surfaces into self-dual Einstein four-manifolds ⋮ Unnamed Item ⋮ Mannheim curves with modified orthogonal frame in Euclidean 3-space ⋮ Mannheim curves and their partner curves in Minkowski 3-space \(E_1^3\)

Cites Work

• Unnamed Item
• On Frenet equations for curves of class \(C^\infty\)
• A critical examination of the theory of curves in three dimensional differential geometry
• On Frenet's Equations
• On the Fundamental Equations of Differential Geometry

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