The horospherical geometry of surfaces in hyperbolic 4-space
From MaRDI portal
Publication:2472724
DOI10.1007/BF02773613zbMath1181.53045MaRDI QIDQ2472724
Dong He Pei, Shyuichi Izumiya, María Del Carmen Romero Fuster
Publication date: 22 February 2008
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
horoasymptotic directionshorobinormalshorospherical pointsosculating hyperhorospheressemiumbilical surfaces
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Non-Euclidean differential geometry (53A35)
Related Items (10)
Spacelike parallels and evolutes in Minkowski pseudo-spheres ⋮ Folding maps on spacelike and timelike surfaces and duality ⋮ Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time ⋮ Unnamed Item ⋮ ASYMPTOTIC CURVES ON SURFACES IN ℝ5 ⋮ Slant geometry of spacelike hypersurfaces in the lightcone ⋮ Total absolute horospherical curvature of submanifolds in hyperbolic space ⋮ Horospherical flat surfaces in hyperbolic 3-space ⋮ Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes ⋮ A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On contact between submanifolds
- Inflection points and nonsingular embeddings of surfaces in \(\mathbb{R}^5\)
- Umbilicity of surfaces with orthogonal asymptotic lines in \(\mathbb R^ 4\).
- Principal configurations and umbilicity of submanifolds in \(\mathbb R^N\)
- Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
- The geometry of surfaces in 4-space from a contact viewpoint
- The lightcone Gauss map of a spacelike surface in Minkowski 4-space
- SINGULARITIES OF HYPERBOLIC GAUSS MAPS
- Umbilicity of space-like submanifolds of Minkowski space
- Inflection points and topology of surfaces in 4-space
This page was built for publication: The horospherical geometry of surfaces in hyperbolic 4-space
