TY - JOUR
AU - O. Shuhaylo
PY - 2017/04/25
Y2 - 2020/11/29
TI - Affine curvature of plane geodesic lines on affine hypersurfaces
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 4
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1716
AB - We establish a necessary and sufficient condition for a geodesic line on a nondegenerate hypersurface to be a plane curve.We deduce a formula for the affine curvature of a plane geodesic line on the affine hypersurface in terms of the affinefundamental form and the shape operator. We present the definition of transverse curvature and determine some of itselementary properties.
ER -