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PreprintarXiv licencearXiv

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 ngeqslant 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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Cite

BibTeXRIS
BibTeX
@misc{ge2026curvature,
  title = {{Curvature pinching for minimal Tangent-Yang-Mills hypersurfaces in spheres}},
  author = {Jianquan Ge and Lixin Xiao and Wenjin Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00976},
  eprint = {2611.00976},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00976},
}
RIS
TY  - UNPB
TI  - Curvature pinching for minimal Tangent-Yang-Mills hypersurfaces in spheres
AU  - Jianquan Ge
AU  - Lixin Xiao
AU  - Wenjin Zhang
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00976
UR  - https://arxiv.org/abs/2611.00976
AB  - We prove a rigidity theorem for closed connected minimal Tangent-Yang-Mills hypersurfaces in the unit sphere. In every dimension ngeqslant 3, such a hypersurface is totally geodesic if the squared norm of its Riemannian curvature tensor is at most 2n(n−1).
ER  -