4 problems

Let $(\mathsf{M},l,\mathfrak{m})$ be a metric measure spacetime. It is infinitesimally Minkowskian if, for all $l$-causal functions $u$ and $v$, its maximal weak subslope satisfies…

Splitting conjecture. If $\phi$ is integrable, then

Let $((X,D),L)$ be an open K-polystable polarized dlt log Calabi–Yau pair, with exactly two connected components of $\operatorname{Supp}(\lfloor D\rfloor)$, interpreted as having t…

Splitting conjecture. The existence of a non-constant function attaining equality in the 1-Bakry–Émery inequality should imply the splitting theorem.