2 problems

Let $X\subset \mathbb{C} P^N$ be a projective manifold, and let $\mathcal{M}(X)$ be the space of Brody curves in $X$. Gromov's conjecture. … The conjecture relates positivity of th…

For a Brody curve $f$ in $\mathbb{C} P^1$, let $e(f)$ be its mean energy, and let $e(\mathbb{C} P^1)$ be the supremum of $e(f)$ over all Brody curves in $\mathbb{C} P^1$. Let…