Osculating surfaces of curves on surfaces
Articles
Kazimieras Navickis
Vilniaus universitetas
Published 2014-12-23
https://doi.org/10.15388/LMR.B.2014.18
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Keywords

surface
osculating sphere
osculating surface

How to Cite

Navickis K. (2014) “Osculating surfaces of curves on surfaces”, Lietuvos matematikos rinkinys, 55(B), pp. 96–99. doi: 10.15388/LMR.B.2014.18.

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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