Joe Neeman

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math.DG2025

On the connectedness of a minimizing cluster's boundary

Emanuel Milman, Joe Neeman

We verify that an isoperimetric minimizing cluster on a simply connected homogeneous Riemannian manifold with at most one end always has connected boundary. In particular, the boun…

math.DG2025

The Structure of Isoperimetric Bubbles on $R^{n}$ and $S^{n}$

Emanuel Milman, Joe Neeman

The multi-bubble isoperimetric conjecture in $n$ -dimensional Euclidean and spherical spaces from the 1990's asserts that standard bubbles uniquely minimize total perimeter among al…

math.DG2024

Plateau Bubbles and the Quintuple Bubble Theorem on $S^{n}$

Emanuel Milman, Joe Neeman

Sullivan's multi-bubble isoperimetric conjectures in $n$ -dimensional Euclidean and spherical spaces assert that standard bubbles uniquely minimize total perimeter among all $q - 1$ b…

On the connectedness of a minimizing cluster's boundary

The Structure of Isoperimetric Bubbles on Rn and Sn

Plateau Bubbles and the Quintuple Bubble Theorem on Sn

The Structure of Isoperimetric Bubbles on $R^{n}$ and $S^{n}$

Plateau Bubbles and the Quintuple Bubble Theorem on $S^{n}$