Pseudo‐spherical evolutes of lightlike loci on mixed type surfaces in Minkowski 3‐space

DOI10.1002/mma.8987MaRDI QIDQ6140748

Lin Yang, Yongqiao Wang, Haiming Liu, Yuan Chang

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

singularitiesevolutesLegendrian dualityopening map-germmixed type surface

Mathematics Subject Classification ID

Critical points and critical submanifolds in differential topology (57R70) Critical points of functions and mappings on manifolds (58K05)

Cites Work

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• Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint
• A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space
• Families of Gauss indicatrices on Lorentzian hypersurfaces in pseudo-spheres in semi-Euclidean 4-space
• Lightlike tangent developables in de Sitter 3-space
• Singularities of helix surfaces in Euclidean 3-space
• Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds
• Geometry of 1-lightlike submanifolds in anti-de Sitter n-space
• Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics
• Evolutes of fronts in the Minkowski plane

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