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Affine curvature of plane geodesic lines on affine hypersurfaces

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 affine fundamental form and the shape operator. We present the d...

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Bibliographic Details
Date:	2017
Main Authors:	Shuhaylo, O., Шугайло, О. О.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2017
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1716
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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