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math.DG2013★ 1 cited
The planar Busemann-Petty centroid inequality and its stability
Mohammad N. Ivaki
In [Centro-affine invariants for smooth convex bodies, Int. Math. Res. Notices. doi: 10.1093/imrn/rnr110, 2011] Stancu introduced a family of centro-affine normal flows, -flow,…
math.DG2013
An application of dual convex bodies to the inverse Gauss curvature flow
Mohammad N. Ivaki
By means of dual convex bodies, we obtain regularity of solutions to the expanding Gauss curvature flows with homogeneity degrees , . At the end, we remark that our meth…
math.DG2013
Convex bodies with pinched Mahler volume under the centro-affine normal flows
Mohammad N. Ivaki
We study the asymptotic behavior of smooth, origin-symmetric, strictly convex bodies under the centro-affine normal flows. By means of a stability version of the Blaschke-Santaló i…