Zhichao Wang

activity

20172026

most citedCompactness and generic finiteness for free boundary minimal hypersurfaces (I)

18 citations · 47 across the 19 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.DG2019

Existence of minimal hypersurfaces with non-empty free boundary for generic metrics

Zhichao Wang

For almost all Riemannian metrics (in the $C^{\infty}$ Baire sense) on a compact manifold with boundary $(M^{n + 1}, \partial M)$ , $3 \leq (n + 1) \leq 7$ , we prove that, for any open sub…

math.DG2019★ 8 cited

Min-max theory for free boundary minimal hypersurfaces II -- General Morse index bounds and applications

Qiang Guang, Martin Man-chun Li, Zhichao Wang +1

For any smooth Riemannian metric on an $(n + 1)$ -dimensional compact manifold with boundary $(M, \partial M)$ where $3 \leq (n + 1) \leq 7$ , we establish general upper bounds for the Mors…

math.DG2019★ 1 cited

Compactness and generic finiteness for free boundary minimal hypersurfaces (II)

Zhichao Wang

Given a compact Riemannian manifold with boundary, we prove that the limit of a sequence of embedded, almost properly embedded free boundary minimal hypersurfaces, with uniform are…