A. Wasserman

activity

19922026

most citedSmooth static solutions of the Einstein-Yang/Mills equation

108 citations · 275 across the 14 of their papers we have counts for

collaborators

14 papers

math.AP2026

Three self-similar solutions of Yang-Mills equations in high odd dimensions

Piotr Bizoń, Irfan Glogić, Arthur Wasserman

We consider spherically symmetric Yang-Mills equations with gauge group $S O (d)$ in $d + 1$ dimensional Minkowski spacetime. For any given odd $d \geq 11$ , we establish existence and u…

math.AT2024

Universal Embedding spaces for $G$ -manifolds

Arthur G. Wasserman

For any compact Lie group $G$ and any $n$ we construct a smooth $G$ -manifold $U_{n} (G)$ such that any smooth $n$ -dimensional $G$ -manifold can be embedded in $U_{n} (G)$ with a trivial n…

math.DS2016

On the rank of a product of manifolds

Francisco-Javier Turiel, Arthur G. Wasserman

This note gives an example of closed smooth manifolds $M$ and $N$ for which the rank of $M \times N$ is strictly greater than $r ank M + r ank N$ .

math.AP2014

Nonexistence of shrinkers for the harmonic map flow in higher dimensions

Piotr Bizoń, Arthur Wasserman

We prove that the harmonic map flow from the Euclidean space $R^{d}$ into the sphere $S^{d}$ has no equivariant self-similar shrinking solutions in dimensions $d \geq 7$ .

math.AP2009★ 25 cited

Self-similar Solutions of the Cubic Wave Equation

P. Bizoń, P. Breitenlohner, D. Maison +1

We prove that the focusing cubic wave equation in three spatial dimensions has a countable family of self-similar solutions which are smooth inside the past light cone of the singu…

math.AP2007★ 51 cited

Self-similar solutions of semilinear wave equations with a focusing nonlinearity

P. Bizon, D. Maison, A. Wasserman

We prove that in three space dimensions a nonlinear wave equation $u_{tt} - Δ u = u^{p}$ with $p \geq 7$ being an odd integer has a countable family of regular spherically symmetric self…