Affine differential geometry of osculating hypersurfaces

Lietuvos Matematikos Rinkinys

KazimierasNavickis¹ 

[1] Vilniaus universitetas;

关键词: hypersurface;    osculating hypersurface;    affine differential geometry;   

DOI  :  10.15388/LMR.B.2012.07

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown