Lightlike tangent developables in de Sitter 3-space

DOI10.1016/j.geomphys.2021.104188zbMath1464.53014OpenAlexW3133554382MaRDI QIDQ2019536

Yanlin Li, Zhi-Gang Wang

Publication date: 21 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104188

zbMATH Keywords

de Sitter 3-spacelight-like curveslight-like tangent developablesMond surfaces

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane ⋮ Local geometric properties of the lightlike Killing magnetic curves in de Sitter 3-space ⋮ Biharmonic submanifolds of Kaehler product manifolds ⋮ Singularities of non-lightlike developable surfaces in Minkowski 3-space ⋮ Pseudo‐spherical evolutes of lightlike loci on mixed type surfaces in Minkowski 3‐space ⋮ Topological structures of event horizons along framed null Cartan curves in Minkowski space ⋮ Unnamed Item ⋮ Some eigenvalues estimate for the \(\phi\)-Laplace operator on slant submanifolds of Sasakian space forms ⋮ A general inequality for CR-warped products in generalized Sasakian space form and its applications ⋮ Homology groups in warped product submanifolds in hyperbolic spaces ⋮ Geometric mechanics on warped product semi-slant submanifold of generalized complex space forms

Cites Work

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• Gaussian surfaces and nullcone dual surfaces of null curves in a three-dimensional nullcone with index 2
• On the number of triple points of the tangent developable
• More on the determinacy of smooth map-germs
• Singularities of null developable of timelike curve that lies on nullcone in semi-Euclidean 3-space with index 2
• Lightlike surfaces of spacelike curves in de Sitter 3-space
• Geometry of 1-lightlike submanifolds in anti-de Sitter n-space
• Pedal curves of fronts in the sphere
• SINGULARITIES OF THE TANGENT DEVELOPABLE SURFACE OF A SPACE CURVE
• LIGHTLIKE DEVELOPABLES IN MINKOWSKI 3-SPACE
• Finite Determinacy of Smooth Map-Germs
• The form of the tangent-developable at points of zero torsion on space curves
• On the tangent developable of a space curve
• Topological Classification of the Tangent Developables of Space Curves
• Pedal curves of frontals in the Euclidean plane
• Envelopes of legendre curves in the unit spherical bundle over the unit sphere
• Slant helix of order n and sequence of Darboux developables of principal‐directional curves
• Evolutes of fronts in the Minkowski plane
• Evolutes of dual spherical curves for ruled surfaces

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