5 problems

Let $(M,g)$ be a Kähler manifold. It satisfies the Δ-property if, for every point $x\in M$, there is a coordinate system $z$ centered at $x$ such that every smooth function $\phi$…

Conjecture 2. The metric $g$ is a complex space form.

Conjecture 1. The following facts hold true:

Let $b\mathbb{CP}^n_\lambdad$ be the complex space form of constant holomorphic curvature $4\lambda$, with invariant valuation algebra…

The presentation conjecture. For the valuation algebra $\mathcal{V}^n_\lambda$,