Affine differential geometry of osculating hypersurfaces
Articles
Kazimieras Navickis
Vilniaus universitetas
Published 2012-12-25
https://doi.org/10.15388/LMR.B.2012.07
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Keywords

hypersurface
osculating hypersurface
affine differential geometry

How to Cite

Navickis K. (2012) “Affine differential geometry of osculating hypersurfaces”, Lietuvos matematikos rinkinys, 53(B), pp. 37-41. doi: 10.15388/LMR.B.2012.07.

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.

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