Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 44, No. 2, pp. 511-524 (2003)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 2, pp. 511-524 (2003) |
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Classification of five dimensional hypersurfaces with affine normal parallel cubic formSalvador Gigena1) Departamento de Matemáticas, Facultad de Ciencias Exactas, Ingenieria y Agrimensura, Universidad Nacional de Rosario, Avenida Pellegrini 250, 2000 Rosario, Argentina, e-mail: sgigena@fceia.unr.edu.ar 2) Departamento de Matemáticas, Facultad de Ciencias Exactas, Fisicas y Naturales, Universidad Nacional de Córdoba, Avenida Velez Sarsfield 1601, 5000 Córdoba, Argentina, e-mail: sgigena@efn.uncor.edu.arAbstract: We consider and classify those five dimensional hypersurfaces with affine normal parallel cubic form. The problem is firstly reduced to the classification of a certain class of solutions to the equation of Monge-Ampère type $\det\left( tial_{ij}f\right) =\pm 1$. Then, it is used the so-called ``method of algorithmic sequence of coordinate changes'', in order to achieve the latter. Keywords: Affine normal, parallel cubic form, Monge-Ampère equations Classification (MSC2000): 53A15, 35J60 Full text of the article:
Electronic version published on: 1 Aug 2003. This page was last modified: 4 May 2006.
© 2003 Heldermann Verlag
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