60 citations · 342 across the 44 of their papers we have counts for
50 papers
-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\…
Plateau Bubbles and the Quintuple Bubble Theorem on
Emanuel Milman, Joe Neeman
Sullivan's multi-bubble isoperimetric conjectures in -dimensional Euclidean and spherical spaces assert that standard bubbles uniquely minimize total perimeter among all b…
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…
The Structure of Isoperimetric Bubbles on and
Emanuel Milman, Joe Neeman
The multi-bubble isoperimetric conjecture in -dimensional Euclidean and spherical spaces from the 1990's asserts that standard bubbles uniquely minimize total perimeter among al…
Centro-Affine Differential Geometry and the Log-Minkowski Problem
Emanuel Milman
We interpret the log-Brunn-Minkowski conjecture of Böröczky-Lutwak-Yang-Zhang as a spectral problem in centro-affine differential geometry. In particular, we show that the Hilbert-…
A sharp centro-affine isospectral inequality of Szegö--Weinberger type and the -Minkowski problem
Emanuel Milman
We establish a sharp upper-bound for the first non-zero even eigenvalue (corresponding to an even eigenfunction) of the Hilbert-Brunn-Minkowski operator associated to a strongly co…