Affine differential geometry of osculating hypersurfaces

Osculating surfaces of second order have been studied in classical affine differential geometry [1].  In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space. Various geometric interpretations are given. This yields a affinely invar...

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Bibliographic Details
Main Author: Kazimieras Navickis
Format: Article
Language:English
Published: Vilnius University Press 2012-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17083