Affine translation surfaces with constant sectional curvature |
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Authors: | Martin Magid Luc Vrancken |
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Institution: | (1) Department of Mathematics, Wellesley College, 02181 Wellesley, MA, USA;(2) Departement Wiskunde, K.U. Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium |
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Abstract: | In this paper we characterize affine translation surfaces with constant Gaussian curvature. We show that such surfaces must be flat and that one of the defining curves must be planar. |
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