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- W2951784508 abstract "For a surface in the 3-dimensional real projective space, we define a Gauss map, which is a quadric in $mathbb R^{4}$ and called the first-order Gauss map. It will be shown that the surface is a Demoulin surface if and only if the first-order Gauss map is conformal, and the surface is a projective minimal coincidence surface or a Demoulin surface if and only if the first-order Gauss map is harmonic. Moreover for a Demoulin surface, it will be shown that the first-order Gauss map can be obtained by the natural projection of the Lorentz primitive map into a 6-symmetric space. We also characterize Demoulin surfaces via a family of flat connections on the trivial bundle $D times SL$ over a simply connected domain $mathbb{D}$ in the Euclidean 2-plane." @default.
- W2951784508 created "2019-06-27" @default.
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- W2951784508 date "2013-01-27" @default.
- W2951784508 modified "2023-10-16" @default.
- W2951784508 title "A loop group method for Demoulin surfaces in the 3-dimensional real projective space" @default.
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- W2951784508 doi "https://doi.org/10.48550/arxiv.1301.6325" @default.
- W2951784508 hasPublicationYear "2013" @default.
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