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 ct(0). The iııtersectioıı of the splıere with oseulatiııg plaııe is a eircle which touches a at the secoud order at a(0) [5j. In this paper, the osculating sphere and the osculating circle of the curve are studied for each of timelike, spacelike and null (Ughtlike) curves in Semi-Riemannian Spaces; Rj, R| and R^.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 2005 |
Submission Date | January 1, 2005 |
Published in Issue | Year 2005 Volume: 54 Issue: 02 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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