Kazimieras Navickis
Abstract
Oosculating sphere have been studied in classical differential geometry [1]. In this article the osculating surfaces of higher order of space curves on surfaces in Euclidean space is considered. We study the intrinsic differential geometry of curves on surfaces by analyzing their contact with surfaces of higher order.
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Oosculating sphere have been studied in classical differential geometry [1]. In this article the osculating surfaces of higher order of space curves on surfaces in Euclidean space is considered. We study the intrinsic differential geometry of curves on surfaces by analyzing their contact with surfaces of higher order.
Key concepts: Osculating circle, Differential geometry of curves, Geometry, Mathematics, Differential geometry, Space (punctuation), Surface (topology), Euclidean geometry