The Gauss maps of Demoulin surfaces with conformal coordinates

In Memory of Professor Zhengguo Bai (1916–2015)

Science China Mathematics (2020)Cite this article

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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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.

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Inoguchi, Ji., Kobayashi, S. The Gauss maps of Demoulin surfaces with conformal coordinates. Sci. China Math. (2020). https://doi.org/10.1007/s11425-020-1738-0

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Keywords

  • Demoulin surface
  • Wilczynski frame
  • Gauss map

MSC(2010)

  • 53A20
  • 53C43
  • 37K10