Osculating surfaces of curves on surfaces

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 surf...

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Bibliographic Details
Main Author:	Kazimieras Navickis
Format:	Article
Language:	English
Published:	Vilnius University Press 2020-04-01
Series:	Lietuvos Matematikos Rinkinys
Subjects:	surface osculating sphere osculating surface
Online Access:	https://www.journals.vu.lt/LMR/article/view/17217

id	doaj-566d40d40de44c53a87b3809e8365f11
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spelling	doaj-566d40d40de44c53a87b3809e8365f112020-11-25T02:58:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2020-04-0155B10.15388/LMR.B.2014.18Osculating surfaces of curves on surfacesKazimieras Navickis0Vilniaus universitetas 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. https://www.journals.vu.lt/LMR/article/view/17217surfaceosculating sphereosculating surface
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kazimieras Navickis
spellingShingle	Kazimieras Navickis Osculating surfaces of curves on surfaces Lietuvos Matematikos Rinkinys surface osculating sphere osculating surface
author_facet	Kazimieras Navickis
author_sort	Kazimieras Navickis
title	Osculating surfaces of curves on surfaces
title_short	Osculating surfaces of curves on surfaces
title_full	Osculating surfaces of curves on surfaces
title_fullStr	Osculating surfaces of curves on surfaces
title_full_unstemmed	Osculating surfaces of curves on surfaces
title_sort	osculating surfaces of curves on surfaces
publisher	Vilnius University Press
series	Lietuvos Matematikos Rinkinys
issn	0132-2818 2335-898X
publishDate	2020-04-01
description	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.
topic	surface osculating sphere osculating surface
url	https://www.journals.vu.lt/LMR/article/view/17217
work_keys_str_mv	AT kazimierasnavickis osculatingsurfacesofcurvesonsurfaces
_version_	1724707944415625216

Osculating surfaces of curves on surfaces

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