Abstract:
A new example of hyperbolic virtual polytope with four horns is constructed. The corresponding smooth hyperbolic hedgehog is not isotopic to the familiar example by Y. Martinez-Maure since the two hedgehogs generate nonisotopic configurations of great semi-circles on the two-sphere. Certain extrinsic-geometric properties of the polytope are established. Bibl. – 11 titles.
Key words and phrases:Aleksandrov's conjecture, hyperbolic hedgehog, horn.
Fulltext:
PDF file (292 kB)