Portal de Periódicos da CAPES

Isoperimetric regions in rotationally symmetric convex bodies

2003; Indiana University; Volume: 52; Issue: 5 Linguagem: Inglês

10.1512/iumj.2003.52.2320

1943-5266

César Rosales,

Point processes and geometric inequalities

We consider the isoperimetric problem of minimizing perimeter for given volume in a strictly convex domain Q c R n+1 and prove that, if Q is rotationally symmetric about some line, then any solution to this problem must be convex.