Open AccessOsculating surfaces of curves on surfaces
Author(s) -
Kazimieras Navickis
Publication year - 2020
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2014.18
Subject(s) - osculating circle , differential geometry of curves , geometry , mathematics , differential geometry , space (punctuation) , surface (topology) , euclidean geometry , euclidean space , differential (mechanical device) , mathematical analysis , physics , ordinary differential equation , differential equation , computer science , differential algebraic equation , thermodynamics , operating system
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.