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Finiteness results for equifocal hypersurfaces in compact symmetric spaces

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Abstract

We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space. Moreover, if the symmetric space is of rank one, the result can be strengthened by dropping the condition curvature-adapted.

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Authors and Affiliations

  1. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing, 100875, China

    JianQuan Ge

  2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Chao Qian

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  1. JianQuan Ge
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  2. Chao Qian
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Correspondence to Chao Qian.

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Ge, J., Qian, C. Finiteness results for equifocal hypersurfaces in compact symmetric spaces. Sci. China Math. 57, 1975–1982 (2014). https://doi.org/10.1007/s11425-013-4753-3

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  • DOI: https://doi.org/10.1007/s11425-013-4753-3

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