2 problems

Let $M^{2m+1}$ be a closed pseudohermitian manifold with vanishing pseudohermitian torsion $A_{\alpha\beta}=0$ and Webster Ricci tensor satisfying … Suppose a positive function $f$…

Vacuum constraint extension conjecture. If $(M,g)$ is an extension of $(\gamma,H)$ in $\mathcal P$, then there exists an extension in $\mathcal C_{(\gamma,H)}$; equivalently,