| Autor: |
Di Giosia, Leonardo, Habib, Jahangir, Kenigsberg, Lea, Pittman, Dylanger, Zhu, Weitao |
| Rok vydání: |
2016 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
The isoperimetric problem with a density or weighting seeks to enclose prescribed weighted area with minimum weighted perimeter. According to Chambers' recent proof of the Log Convex Density Conjecture, for many densities on $\mathbb{R}^n$ the answer is a sphere about the origin. We generalize his results from $\mathbb{R}^n$ to $\mathbb{H}^n$ with related but different volume and perimeter densities. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
