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arXiv · 2611.00976

Curvature pinching for minimal Tangent-Yang-Mills hypersurfaces in spheres

Jianquan Ge·Lixin Xiao·Wenjin Zhang
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Abstract

We prove a rigidity theorem for closed connected minimal Tangent-Yang-Mills hypersurfaces in the unit sphere. In every dimension $n\geqslant 3$, such a hypersurface is totally geodesic if the squared norm of its Riemannian curvature tensor is at most $2n(n-1)$.

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Jianquan Ge, Lixin Xiao, Wenjin Zhang. 2026-10-31. Curvature pinching for minimal Tangent-Yang-Mills hypersurfaces in spheres. https://arxiv.org/abs/2611.00976

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