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Classification of flat indefinite Equicentroaffinely Homogeneous Surfaces in R4

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Abstract

A nondegenerate equi-centroaffine surface in R4 is called homogeneous if for any two points p and q on the surface there exists an equi-centroaffine transformation in R4 which takes the surface to itself and takes p to q. In this paper we classify the equi-centroaffinely homogeneous surfaces with flat indefinite metric in R4 up to centroaffine transformations.

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Authors and Affiliations

  1. FB 3-Mathematik, Technische Universität Berlin, MA 8-3 Straße des 17. Juni 136, D-10623, Berlin

    Huili Liu

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  1. Huili Liu
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Correspondence to Huili Liu.

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Supported by the DFG-project “Affine Differential Geometry” at the TU Berlin

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Liu, H. Classification of flat indefinite Equicentroaffinely Homogeneous Surfaces in R4 . Results. Math. 29, 280–304 (1996). https://doi.org/10.1007/BF03322225

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  • DOI: https://doi.org/10.1007/BF03322225

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