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ON THE TRANSLATION HYPERSURFACES WITH GAUSS MAP G SATISFYING Delta G = AG

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dc.creator ÇÖKEN, ABDİLKADİR CEYLAN
dc.creator Sekerci, G. Aydin
dc.creator Sevinc, S.
dc.date 2018-12-31T21:00:00Z
dc.date.accessioned 2020-10-06T11:23:26Z
dc.date.available 2020-10-06T11:23:26Z
dc.identifier c943357c-179e-4764-a0fa-df8bd5572ba8
dc.identifier 10.18514/mmn.2019.3021
dc.identifier https://avesis.sdu.edu.tr/publication/details/c943357c-179e-4764-a0fa-df8bd5572ba8/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/71943
dc.description It is a known fact that a translation hypersurface is obtained by combination of any three curves in the 4-dimensional Euclidean space. We examine a special situation where the Gauss map of a translation hypersurface satisfies the condition Delta G = AG where Delta represents the Laplace operator and A is a 4 x 4-real matrix. Our result is that such a translation hypersurface is one of the following three hypersurfaces: the hypersurface of translation surface and a constant vector along this surface, the hyperplane, the hypersurface Sigma x R where Sigma is a translation surface.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title ON THE TRANSLATION HYPERSURFACES WITH GAUSS MAP G SATISFYING Delta G = AG
dc.type info:eu-repo/semantics/article


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