Abstract
In this paper, the notion of hyperbolic ellipsoids in hyperbolic space is introduced. Using a natural orthogonal projection from hyperbolic space to Euclidean space, we establish affine isoperimetric type inequalities for static convex domains in hyperbolic space. Moreover, equality of such inequalities is characterized by these hyperbolic ellipsoids.
| Original language | English |
|---|---|
| Pages (from-to) | 62-81 |
| Number of pages | 20 |
| Journal | Journal of Mathematical Study |
| Volume | 58 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2025 |
Keywords
- Blaschke-Santaló inequality
- Static convex
- affine isoperimetric inequality
- hyperbolic space
- orthogonal projection
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