Utkin, A. A. On connections, determined by a normal cubic on a smooth surface. (English) Zbl 0862.53009 Shelekhov, A. M. (ed.), Webs and quasigroups. Tver: Tver State University. 97-105 (1992). Let \(V^2\) be a smooth surface in a projective space \(P^3\) and \(N\) be a normal cubic curve in \(P^3\). If we illuminate \(V^2\) from the points of \(N\), then the shadow-lines on \(V^2\) form the so-called coordinate web. On the other hand, the curve \(N\) determines some invariant affine connections on \(V^2\). The invariants of the coordinate 3-web are interpreted in terms of these connections.For the entire collection see [Zbl 0748.00014]. Reviewer: A.M.Shelekhov (Tver’) Cited in 2 Documents MSC: 53A20 Projective differential geometry 20N05 Loops, quasigroups 53A60 Differential geometry of webs 53B05 Linear and affine connections Keywords:geometric three-web; affine connection; smooth surface; normal cubic curve PDFBibTeX XMLCite \textit{A. A. Utkin}, in: Ткани и квазигруппы. Tver: Tver State University. 97--105 (1992; Zbl 0862.53009)