39 citations · 205 across the 34 of their papers we have counts for
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math.DG2020★ 4 cited
Existence of constant mean curvature 2-spheres in Riemannian 3-spheres
Da Rong Cheng, Xin Zhou
We prove the existence of branched immersed constant mean curvature 2-spheres in an arbitrary Riemannian 3-sphere for almost every prescribed mean curvature, and moreover for all p…
math.DG2020★ 5 cited
Multiplicity one for min-max theory in compact manifolds with boundary and its applications
Ao Sun, Zhichao Wang, Xin Zhou
We prove the multiplicity one theorem for min-max free boundary minimal hypersurfaces in compact manifolds with boundary of dimension between 3 and 7 for generic metrics. To approa…
math.DG2020★ 5 cited
Generic scarring for minimal hypersurfaces along stable hypersurfaces
Antoine Song, Xin Zhou
Let be a closed manifold of dimension . We show that for a -generic metric on , to any connected, closed, embedded, -sided, stable, m…