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ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES E-v(n+1)

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dc.creator Coken, A. Ceylan
dc.date 2011-08-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:20:17Z
dc.date.available 2021-12-03T11:20:17Z
dc.identifier 3a3e48d1-fd8b-4bb5-ab07-850887ce64f3
dc.identifier 10.1142/s0219887811005579
dc.identifier https://avesis.sdu.edu.tr/publication/details/3a3e48d1-fd8b-4bb5-ab07-850887ce64f3/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/90971
dc.description In this paper, we study Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces E-v(n+1). We obtain an analog of the well-known Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces E-v(n+1). Then we give corollaries of Euler's theorem concerning conjugate and asymptotic directions. After that, we express Euler's theorem and its corollaries for hypersurfaces in the Euclidean space E-m in the case n = m - 1, v = 0. In addition, we give the well-known Euler's theorem and its corollaries for surfaces in the case n = 2, v = 0, for Lorentz surfaces in the case n = 2, v = 1 and for hypersurfaces in Lorentz spaces in the case n = m-1, v = 1.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES E-v(n+1)
dc.type info:eu-repo/semantics/article


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