2 problems

Nonpositive-curvature conjecture. Theorem 1.6 remains true under this weaker assumption: $G$ is solvable; if, in addition, $G$ is unimodular, then $\sigma=0$ and $\mathrm{g}$ is fl…

Let $G$ be a compact Lie group with a bi-invariant metric $h_0$ and Lie algebra $\mathfrak g$. For a left-invariant metric $h$ on $G$, let $\Phi$ be the unique $h_0$-self-adjoint p…