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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1986 / Cilt: 35 - Sayı: 01.02 #74339

UMBRELLA MATRICES AND HIGHER CURVATURES OF A CURVE

Erdoğan ESİN

Pages
28–34
DOI
—

Abstract

n this paper, using the curvature matris of a curve-hypersurface pair in the Cayley formu- la we obtain an umbrella matrix. Furthermore we give a relation between the Darboux ma­ tris of the umbrella motion and the (higher) curvature matrix. In addition, using this umbrella matrix we also obtain an infinitesimal umbrella matrix.