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PreprintCC BY 4.0arXiv

Isoparametric Submanifolds in Products of Space Forms

Abstract

In this paper, we obtain a classification of isoparametric submanifolds with arbitrary codimensions in products of simply-connected space forms, except for isoparametric hypersurfaces in π•Šn Γ— π•Šm and ℍn ×ℍm.

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BibTeX
@misc{chen2026isoparametric,
  title = {{Isoparametric Submanifolds in Products of Space Forms}},
  author = {Jinxuan Chen and Xiaobo Liu and Wanxu Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37739},
  eprint = {2609.37739},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37739},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Isoparametric Submanifolds in Products of Space Forms
AU  - Jinxuan Chen
AU  - Xiaobo Liu
AU  - Wanxu Yang
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.37739
UR  - https://arxiv.org/abs/2609.37739
AB  - In this paper, we obtain a classification of isoparametric submanifolds with arbitrary codimensions in products of simply-connected space forms, except for isoparametric hypersurfaces in π•Š^n Γ— π•Š^m and ℍ^n ×ℍ^m.
ER  -