59 citations · 268 across the 39 of their papers we have counts for
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Prescribed curvature problem
Yingxiang Hu, Mohammad N. Ivaki
In this paper, we establish the existence of smooth, origin-symmetric, strictly convex solutions to the prescribed even curvature problem.
On the uniqueness of solutions to the isotropic dual Minkowski problem
Yingxiang Hu, Mohammad N. Ivaki
We prove that the unit sphere is the only smooth, strictly convex solution to the isotropic dual Minkowski problem \begin{align*} h^{p-1} |D h|^{n+1-q}\mathcal{K}=1, \end{ali…
Uniqueness of solutions to a class of non-homogeneous curvature problems
Mohammad N. Ivaki
We show that the only even, smooth, convex solutions to a class of isotropic mixed Christoffel-Minkowski type problems are origin-centred spheres, which, in particular, answers a q…
-Minkowski Problem under Curvature Pinching
Mohammad N. Ivaki, Emanuel Milman
Let be a smooth, origin-symmetric, strictly convex body in . If for some , the anisotropic Riemannian metric $\frac{1}{2}D^2 \Vert\cdot\…
Uniqueness of solutions to a class of isotropic curvature problems
Mohammad N. Ivaki, Emanuel Milman
Employing a local version of the Brunn-Minkowski inequality, we give a new and simple proof of a result due to Andrews, Choi and Daskalopoulos that the origin-centred balls are the…