2010/11/23 by Alina Stancu, Stancu, Alina
Mathematics · #52A20 #52A40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:52A20 #msc:52A40
paper · pdf · doi:10.48550/arxiv.1011.4980
21 pages
arxiv created 2010/11/23 · arxiv updated 2010/11/24
Employing a centro-affine flow on smooth convex bodies, we generate new centro-affine differential invariants. One class of the newly defined invariants is the object of a sharp isoperimetric inequality, while other new inequalities on known centro-affine invariants are obtained as a byproduct of the flow's study. Furthermore, this approach led to a geometric interpretation of a new affine surface area recently introduced by Ludwig and Reitzner.