Geodesic
Homogeneous Hypersurfaces with Isotropy in Affine Four-Space
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 57-70.

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We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional. 
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M. G. Eastwood; V. V. Ezhov. Homogeneous Hypersurfaces with Isotropy in Affine Four-Space. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 57-70. http://geodesic.mathdoc.fr/item/TM_2001_235_a3/

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