Affine differential geometry of osculating hypersurfaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 25 Dec 2012Publisher:Vilnius University PressJournal:Lietuvos matematikos rinkinys, volume 53, pages 37-41 (issn: 0132-2818, eissn: 2335-898X,

Copyright policy )

Authors: Kazimieras Navickis;

doi: 10.15388/lmr.b.2012.07

Affine differential geometry of osculating hypersurfaces

- Summary
- Subjects
- Metrics

Abstract

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 invariant consideration of the local properties of a given hypersurface which depend on the derivatives of higher order.

Related Organizations

Vilnius University
Lithuania

Keywords

affine differential geometry, QA1-939, osculating hypersurface, hypersurface, Mathematics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

gold