JournalsrmiVol. 29, No. 4pp. 1191–1210

On varieties with higher osculating defect

  • Pietro De Poi

    Università di Udine, Italy
  • Roberta Di Gennaro

    Università degli Studi di Napoli “Federico II”, Italy
  • Giovanna Ilardi

    Università degli Studi di Napoli “Federico II”, Italy
On varieties with higher osculating defect cover
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Abstract

In this paper, using the method of moving frames, we generalise some of Terracini’s results on varieties with tangent defect. In particular, we characterise varieties with higher order osculating defect in terms of Jacobians of higher fundamental forms and moreover we characterise varieties with “small” higher fundamental forms as contained in scrolls.

Cite this article

Pietro De Poi, Roberta Di Gennaro, Giovanna Ilardi, On varieties with higher osculating defect. Rev. Mat. Iberoam. 29 (2013), no. 4, pp. 1191–1210

DOI 10.4171/RMI/753