Summary: 



Two-point symmetrization and convexity



Guillaume AUBRUN and Matthieu FRADELIZI



Abstract

We prove a conjecture of R. Schneider: the spherical caps are the only s*
*pheri-
cally convex bodies of the sphere which remain spherically convex after an*
*y two-
point symmetrization. More generally, we study the relationships between c*
*on-

Source: Aubrun, Guillaume - Institut Camille Jordan, Université Claude Bernard Lyon-I

Collections: Mathematics