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On Joachimsthal's theorems in semi-Euclidean spaces

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dc.creator GÖRGÜLÜ, ALİ
dc.creator Coken, A. Ceylan
dc.date 2009-06-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:21:28Z
dc.date.available 2021-12-03T11:21:28Z
dc.identifier 4f6bfb80-63fb-4e2c-afc4-c5e372525d98
dc.identifier 10.1016/j.na.2008.08.003
dc.identifier https://avesis.sdu.edu.tr/publication/details/4f6bfb80-63fb-4e2c-afc4-c5e372525d98/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/91422
dc.description In this work, we study Joachimsthal's theorems in semi-Euclidean spaces E-nu(n+1). We obtain a relation between the curvatures of the strips in semi-Euclidean spaces E-nu(n+1) in matrix form depending on a semi-orthogonal matrix. This matrix equation gives us a generalization of the original Joachimsthal theorem in semi-Euclidean space E-1(3) and the well-known Joachimsthal theorem of the surface theory. In addition, we reobtain the well-known Joachimsthal theorem from our matrix equation in the case n = 2, nu = 0 and the original Joachimsthal theorem from our matrix equation in the case n = 2, nu = 1. (C) 2008 Elsevier Ltd. All rights reserved.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title On Joachimsthal's theorems in semi-Euclidean spaces
dc.type info:eu-repo/semantics/article


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