Affine differential geometry of osculating hypersurfaces
Kazimieras Navickis
Vilniaus universitetas
Published 2012-12-25


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.


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.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy