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arXiv · 2401.12712

Moutard hyperquadrics and generalized Darboux directions

Fernanda Py Silva Cordeiro·Marcos Craizer
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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.

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Fernanda Py Silva Cordeiro, Marcos Craizer. 2024-01-23. Moutard hyperquadrics and generalized Darboux directions. https://arxiv.org/abs/2401.12712

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