Linear combinations of hypersurfaces in hyperbolic space (Q1942326)
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scientific article; zbMATH DE number 6146029
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear combinations of hypersurfaces in hyperbolic space |
scientific article; zbMATH DE number 6146029 |
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Linear combinations of hypersurfaces in hyperbolic space (English)
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18 March 2013
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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.
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hyperbolic space
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Minkowski addition
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horospheres
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convex sets
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