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Relaxed elastic line on a curved pseudo-hypersurface in pseudo-Euclidean spaces

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dc.creator Yucesan, A
dc.creator Manning, GS
dc.creator Ayyildiz, N
dc.creator Coken, AC
dc.date 2006-03-01T01:00:00Z
dc.date.accessioned 2021-12-03T11:31:49Z
dc.date.available 2021-12-03T11:31:49Z
dc.identifier 8a581153-8af3-43d2-bc77-9c4ffafedf1a
dc.identifier 10.1016/j.jmaa.2005.05.051
dc.identifier https://avesis.sdu.edu.tr/publication/details/8a581153-8af3-43d2-bc77-9c4ffafedf1a/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/93191
dc.description In this work, we derive the Euler-Lagrange equation for an elastic line which is lying on a pseudo-hypersurface in pseudo-Euclidean spaces E-v(n). Following this, we check the solutions which depend on the boundary conditions whether they are geodesic on a pseudo-hypersurface or not. The relaxed elastic line on a pseudo-hyperplane, a pseudo-hypersphere, and pseudo-hyperbolic space is a geodesic. However, the relaxed elastic line on a pseudo-hypercylinder, is a space-like geodesic. (c) 2005 Elsevier Inc. All rights reserved.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Relaxed elastic line on a curved pseudo-hypersurface in pseudo-Euclidean spaces
dc.type info:eu-repo/semantics/article


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