osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:54 Issue:02
osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE

osculating spheres and osculating circles of a CURVE in SEMI-RİEMANNIAN SPACE

Authors : E SOYTÜRK

Pages : 0-0

Doi:10.1501/Commua1_0000000330

View : 14 | Download : 7

Publication Date : 2005-01-01

Article Type : Research Paper

Abstract :Ilı the Euclidean 3-space, t,here is a uııigue sphere for a curve o : / —» R^ such that the sphere touchc.s a at. the third order at ctinsert ignore into journalissuearticles values(0);. The iııtersectioıı of the splıere with oseulatiııg plaııe is a eircle which touches a at the secoud order at ainsert ignore into journalissuearticles values(0); [5j. In this paper, the osculating sphere and the osculating circle of the curve are studied for each of timelike, spacelike and null insert ignore into journalissuearticles values(Ughtlike); curves in Semi-Riemannian Spaces; Rj, R| and R^.
Keywords : osculating circles, CURVE, SEMI RİEMANNIAN SPACE

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