| Title |
Glaustinių hiperpaviršių afininė diferencialinė geometrija / |
| Another Title |
Affine differential geometry of osculating hypersurfaces. |
| Authors |
Navickis, Kazimieras |
| DOI |
10.15388/LMR.B.2012.07 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys.. Vilnius : Vilniaus universiteto leidykla. 2012, t. 53, ser. B, p. 37-41.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
hypersurface ; osculating hypersurface ; affine differential geometry |
| Abstract [eng] |
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. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2012 |
| CC license |
|
