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Indefinite Affine Umbilical Surfaces in R^4
Authors:L Verstraelen  L Vrancken  P Witowicz
Institution:(1) Dept. Wiskunde, K.U. Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium;(2) Fachbereich Mathematik, Technische Universitäat Berlin, Sekr. MA 8-3, Strasse des 17. Juni 136, D-10623 Berlin, Germany;(3) Katedra Matematyki, Politechniki Rzeszowskiej, ul.W.Pola 2, PL-35-959 Rzeszow, Poland
Abstract:We study surfaces M 2 in the four-dimensional affine space 
$$R^4 $$
equipped with its usual torsion-free connection D and parallel volume form given by the determinant.
Keywords:equiaffine normal bundle  affine mean curvature  
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