Pedro R. López-Gómez

Minimal Riesz and logarithmic energies on the Grassmannian $\operatorname{Gr}_{2,4}$

We study the Riesz and logarithmic energies on the Grassmannian \operatorname{Gr}_{2,4} of 2 -dimensional subspaces of \mathbb{R}^{4} . We prove that the continuous Riesz and logarithmic energies are uniquely minimized by the uniform measure, and we obtain asymptotic upper and lo...