Xin Zhou

activity

20092026

most citedMin-max theory for free boundary minimal hypersurfaces I - regularity theory

39 citations · 205 across the 34 of their papers we have counts for

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Showing 2012 · math.DGShow all

3 papers · 2 filters

math.DG2012

Min-max minimal hypersurface in $(M^{n + 1}, g)$ with $R i c_{g} > 0$ and $2 \leq n \leq 6$

Xin Zhou

In this paper, we study the shape of the min-max minimal hypersurface produced by Almgren-Pitts in \cite{A2}\cite{P} corresponding to the fundamental class of a Riemannian manifold…

math.DG2012★ 5 cited

Mass angular momentum inequality for axisymmetric vacuum data with small trace

Xin Zhou

In this paper, we proved the mass angular momentum inequality\cite{D1}\cite{ChrusLiWe}\cite{SZ} for axisymmetric, asymptotically flat, vacuum constraint data sets with small trace.…

math.DG2012★ 21 cited

Convexity of reduced energy and mass angular momentum inequalities

Richard Schoen, Xin Zhou

In this paper, we extend the work in \cite{D}\cite{ChrusLiWe}\cite{ChrusCo}\cite{Co}. We weaken the asymptotic conditions on the second fundamental form, and we also give an $L^{6}…

Min-max minimal hypersurface in (Mn+1,g) with Ricg​>0 and 2≤n≤6

Mass angular momentum inequality for axisymmetric vacuum data with small trace

Convexity of reduced energy and mass angular momentum inequalities

Min-max minimal hypersurface in $(M^{n + 1}, g)$ with $R i c_{g} > 0$ and $2 \leq n \leq 6$