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Mathematics > Differential Geometry

Title: Moutard hyperquadrics and generalized Darboux directions

Authors: Fernanda Py Silva Cordeiro, Marcos Craizer
(Submitted on 23 Jan 2024 (v1), last revised 6 May 2024 (this version, v3))
Abstract: The higher order contact of a quadric with a surface in $3$-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.
Comments: 10 pages
Subjects: Differential Geometry (math.DG)
MSC classes: 53A15, 53A20
Cite as: arXiv:2401.12712 [math.DG]
  (or arXiv:2401.12712v3 [math.DG] for this version)

Submission history

From: Marcos Craizer [view email]
[v1] Tue, 23 Jan 2024 12:22:47 GMT (25kb)
[v2] Tue, 30 Apr 2024 11:14:11 GMT (26kb)
[v3] Mon, 6 May 2024 22:18:27 GMT (26kb)
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