Author

Ya Tao

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Preprint Oct 2026

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

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 congruent to the minimal Cartan isoparametric hypersurface in $S^4$, which provides a positive answer to the Bryant conjecture \cite{ChangLocal}...

Chao Qian, Ya Tao · 0 citations