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Restricted Curvature in the Minkowski Plane

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Restricted Curvature in the Minkowski Plane

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Title: Restricted Curvature in the Minkowski Plane
Author: Ghandehari, Mostafa
Abstract: A geometric proof for the following problem is given: Let E be the unit circle in a Minkowski plane. Let C be any continuously differentiable closed curve with length l(C)(measured in Minkowski metric). Assume [see pdf for notation] denote Euclidean curvatures. Then C can be contained in a similar copy of the unit disk translated and magnified by a factor of [see pdf for notation].
URI: http://hdl.handle.net/10106/2352
Date: 2008

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