Horo-tight spheres in hyperbolic space (Q639972)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Horo-tight spheres in hyperbolic space |
scientific article; zbMATH DE number 5956849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Horo-tight spheres in hyperbolic space |
scientific article; zbMATH DE number 5956849 |
Statements
Horo-tight spheres in hyperbolic space (English)
0 references
11 October 2011
0 references
The authors address a question raised by Cecil and Ryan by exhibiting the horo-tight immersions of spheres in hyperbolic space. Their main results give several characterisations of such immersions. For example, it is shown that horo-tight hyperspheres are characterised by the following property: Both of its total absolute horospherical curvatures attain their minimal value. Moreover, a notion of weak horo-tightness is introduced and related results are established.
0 references
horo-tight immersion
0 references
sphere
0 references
hyperbolic space
0 references
horospherical geometry
0 references
totally horospherical curvature
0 references
0 references
0.91162896
0 references
0.90308577
0 references
0.8993956
0 references
0.89819854
0 references
0.89115834
0 references
