An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere
  We find a monotone quantity along the inverse mean curvature flow and use it to prove an Alexandrov-Fenchel-type inequality for strictly convex hypersurfaces in the $n$-dimensional sphere, $n \geq 3$. 
Frederico Gir\~ao and Neilha M. Pinheiro
math.DG