Linear combinations of hypersurfaces in hyperbolic space
The authors introduce and investigate linear combinations of hypersurfaces in hyperbolic space. They use some linear structure in the space of horosphere. They define a scalar multiplication, the \(h\)-dilation, and the two additions, the sum and the harmonic sum. These new constructions are invariant with respect to the group of hyperbolic motions.
scientific article; zbMATH DE number 6146029
scientific article