The moduli space of mean convex two-spheres in complete orientable 3-manifolds with nonnegative Ricci curvature is path-connected; mean convex Heegaard tori have one or two path components depending on a precise characterisation.
and Song, A.,On the existence of minimal Heegaard surfaces,arXiv:1911.07161 [math.DG] (2019)
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DG 2verdicts
UNVERDICTED 2representative citing papers
Existence of index-one minimal hypersurfaces with unbounded volume in enlargeable manifolds (dims 3-7) plus 3D scalar curvature rigidity under area-nonincreasing maps.
citing papers explorer
-
Closed minimal surfaces of index one in Riemannian manifolds
Existence of index-one minimal hypersurfaces with unbounded volume in enlargeable manifolds (dims 3-7) plus 3D scalar curvature rigidity under area-nonincreasing maps.