18 citations · 47 across the 19 of their papers we have counts for
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math.DG2018★ 1 cited
Compactness of self-shrinkers in with fixed genus
Ao Sun, Zhichao Wang
We prove the compactness of self-shrinkers in with bounded entropy and fixed genus. As a corollary, we show that numbers of ends of such surfaces are uniformly bounde…
math.DG2018★ 18 cited
Compactness and generic finiteness for free boundary minimal hypersurfaces (I)
Qiang Guang, Zhichao Wang, Xin Zhou
Given a compact Riemannian manifold with boundary, we prove that the space of embedded, which may be improper, free boundary minimal hypersurfaces with uniform area and Morse index…
math.DG2018★ 3 cited
Free boundary minimal hypersurfaces with least area
Qiang Guang, Zhichao Wang, Xin Zhou
In this paper, we prove the existence of the free boundary minimal hypersurface of least area in compact manifolds with boundary. Such hypersurface can be viewed as the ground stat…