Chao Qian

activity

20122026

most citedNew examples of Willmore submanifolds in the unit sphere via isoparametric functions,II

26 citations · 46 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.DG2026

Collapse to nonsmoothable manifolds under lower sectional and positive Ricci curvature bounds

Jian Ge, Chao Qian

We construct smooth collapsing sequences with sectional curvature at least $- 1$ whose limits are topological manifolds with nonzero Kirby--Siebenmann class. For every $n \geq 6$ , the…

math.DG2026

On the Bryant conjecture for minimal hypersurfaces in $S^{4}$

Chao Qian, Ya Tao

We prove that a local minimal hypersurface $M^{3}$ in the unit sphere $S^{4}$ with constant scalar curvature and three distinct principal curvatures at every point must be locally cong…

math.DG2026

A concise proof of homogeneity of an isoparametric hypersurface with $(g, m) = (6, 2)$

Chao Qian, Zizhou Tang

A well-known hypersurface classification theorem states that any isoparametric hypersurface in $S^{13}$ with six principal curvatures is homogeneous. This landmark result was first…

Collapse to nonsmoothable manifolds under lower sectional and positive Ricci curvature bounds

On the Bryant conjecture for minimal hypersurfaces in S4

A concise proof of homogeneity of an isoparametric hypersurface with (g,m)=(6,2)

On the Bryant conjecture for minimal hypersurfaces in $S^{4}$

A concise proof of homogeneity of an isoparametric hypersurface with $(g, m) = (6, 2)$