On geodesics of framed surfaces in the Euclidean 3-space

DOI10.2748/TMJ.20221020MaRDI QIDQ6589767

Masatomo Takahashi

Publication date: 20 August 2024

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

zbMATH Keywords

singular pointsgeodesicsframed curvesframed surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

Cites Work

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• Existence and uniqueness for Legendre curves
• Singularities of a geodesic flow on surfaces with a cuspidal edge
• Framed curves in the Euclidean space
• Existence conditions of framed curves for smooth curves
• Framed surfaces in the Euclidean space
• Surfaces of revolution of frontals in the Euclidean space
• Behavior of Gaussian Curvature and Mean Curvature Near Non-degenerate Singular Points on Wave Fronts
• Completion of the classification of generic singularities of geodesic flows in two classes of metrics
• There is More than One Way to Frame a Curve
• Recognition Problem of Frontal Singularities

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