Calculus of Variations and Geometric Measure Theory

A. Figalli - Y. Ge

Isoperimetric-type inequalities on constant curvature manifolds

created by figalli on 28 Jun 2011


Accepted Paper

Inserted: 28 jun 2011

Journal: Adv. Calc. Var.
Year: 2011


By exploiting optimal transport theory on Riemannian manifolds and adapting Gromov's proof of the isoperimetric inequality in the Euclidean space, we prove an isoperimetric-type inequality on simply connected constant curvature manifolds.