3 problems

Positivity conjecture. Under these assumptions, $E_\lambda\geq 0$. The spacelike mean-curvature-vector conditions ensure that the quasi-local energy is well defined. This is the de…

Riemannian positivity conjecture. Under these assumptions, $E_\lambda\geq0$. This is the purely Riemannian specialization of the preceding conjecture in the perfectly umbilic case…

Reference-mass conjecture. The mass of the reference should appear in the inequality of the positive mass theorem.