English

Moutard hyperquadrics and generalized Darboux directions

Differential Geometry 2024-05-08 v3

Abstract

The higher order contact of a quadric with a surface in 33-space at a non-degenerate point is obtained by the Moutard quadric in the Darboux direction. In this paper, we discuss the extension of this result to hypersurfaces in arbitrary dimensions.

Keywords

Cite

@article{arxiv.2401.12712,
  title  = {Moutard hyperquadrics and generalized Darboux directions},
  author = {Fernanda Py Silva Cordeiro and Marcos Craizer},
  journal= {arXiv preprint arXiv:2401.12712},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-28T14:24:38.899Z