59 citations · 268 across the 39 of their papers we have counts for
6 papers · 1 filter
Volume preserving centro-affine normal flows
Mohammad N. Ivaki, Alina Stancu
We study the long time behavior of the volume preserving -flow in for . By extending Andrews' technique for the flow along the affine…
Centro-affine normal flows on curves: Harnack estimates and Ancient solutions
Mohammad N. Ivaki
We prove that the only compact, origin-symmetric, strictly convex ancient solutions of the planar centro-affine normal flows are contracting origin-centered ellipses.
On the stability of the -affine isoperimetric inequality
Mohammad N. Ivaki
Employing the affine normal flow, we prove a stability version of the -affine isoperimetric inequality for in in the class of origin-symmetric convex bod…
Centro-affine curvature flows on centrally symmetric convex curves
Mohammad N. Ivaki
We consider two types of -centro affine flows on smooth, centrally symmetric, closed convex planar curves, -contracting, respectively, -expanding. Here is an arbitrary…
A flow approach to the Minkowski problem
Mohammad N. Ivaki
We prove that the set of smooth, -periodic, positive functions on the unit circle for which the Minkowski problem is solvable is dense in the set of all smooth, -per…
Affine-geometric Wirtinger inequality
Mohammad N. Ivaki
A generalization of the affine-geometric Wirtinger inequality for curves to hypersurfaces is given.