Extendibility and boundedness of invariants on singularities of wavefronts

DOI10.1007/s00605-023-01911-5zbMath1530.53010arXiv2011.09511OpenAlexW4388124519MaRDI QIDQ6137886

Unnamed Author

Publication date: 16 January 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09511

zbMATH Keywords

singular surfacewavefrontGaussian curvature

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential invariants (local theory), geometric objects (53A55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flat surfaces with singularities in Euclidean 3-space
• Parallel and dual surfaces of cuspidal edges
• Framed curves in the Euclidean space
• Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space
• Principal curvatures and parallel surfaces of wave fronts
• The geometry of fronts
• Framed surfaces in the Euclidean space
• Behavior of Gaussian Curvature and Mean Curvature Near Non-degenerate Singular Points on Wave Fronts
• Singularities of Frontals
• FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE
• The fundamental theorem for singular surfaces with limiting tangent planes

This page was built for publication: Extendibility and boundedness of invariants on singularities of wavefronts