The rectifying developable and the tangent indicatrix of a curve in Galilean 3-space

DOI10.1007/s10474-011-0117-zzbMath1240.58024OpenAlexW2095420621MaRDI QIDQ653864

Juan-Miguel Gracia

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0117-z

zbMATH Keywords

singularitydistance functionheight functionGalilean space

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Critical points of functions and mappings on manifolds (58K05)

Related Items (1)

Relaxed Elastic Line On An Oriented Surface In The Galilean Space

Cites Work

• Some special surfaces in the pseudo-Galilean space
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• The focal developable and the binormal indicatrix of a nonlightlike curve in Minkowski 3-space
• Generic Geometry
• SINGULARITIES OF THE TANGENT DEVELOPABLE SURFACE OF A SPACE CURVE
• On singularities, envelopes and elementary differential geometry
• The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space
• Generic 1-parameter families of caustics by reflexion in the plane
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