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The Gauss maps of Demoulin surfaces with conformal coordinates

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Abstract

Demoulin surfaces in the real projective 3-space are investigated. Our result enables us to establish a generalized Weierstrass type representation for definite Demoulin surfaces by virtue of primitive maps into a certain semi-Riemannian 6-symmetric space.

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Acknowledgements

This work was supported by JSPS KAKENHI (Grant Nos. JP18K03265 and JP19K03461).

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Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, Tsukuba, 305-8571, Japan

    Jun-ichi Inoguchi

  2. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Shimpei Kobayashi

Authors
  1. Jun-ichi Inoguchi
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  2. Shimpei Kobayashi
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Corresponding author

Correspondence to Jun-ichi Inoguchi.

Additional information

In Memory of Professor Zhengguo Bai (1916–2015)

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Inoguchi, Ji., Kobayashi, S. The Gauss maps of Demoulin surfaces with conformal coordinates. Sci. China Math. 64, 1479–1492 (2021). https://doi.org/10.1007/s11425-020-1738-0

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  • DOI: https://doi.org/10.1007/s11425-020-1738-0

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