Curves in a spacelike hypersurface in Minkowski space-time

zbMath1485.58027arXiv1907.01876MaRDI QIDQ824122

Ana Claudia Nabarro, Andrea de Jesus Sacramento, Shyuichi Izumiya

Publication date: 14 December 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01876

zbMATH Keywords

Minkowski spacecurvatureFrenet frameversal deformationsde Sitter 3-spacehyperbolic surfacesspacelike hypersurfacesdiscriminant setFrenet-Serret formulaegeneric shapereal manifoldstimelike tangential height functions

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Critical points of functions and mappings on manifolds (58K05)

Cites Work

• Unnamed Item
• Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time
• Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space
• Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space
• FOCAL SURFACES AND EVOLUTES OF CURVES IN HYPERBOLIC SPACE
• Foundations of Hyperbolic Manifolds
• Focal set of curves in the Minkowski space near lightlike points
• Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space
• Horospherical flat surfaces in hyperbolic 3-space

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