Calcul explicite de la courbure des tissus calibr\'es ordinaires
Jean-Paul Dufour, Daniel Lehmann
TL;DR
This paper introduces a MAPLE program for explicitly calculating the curvature of calibrated ordinary webs in any dimension, linking curvature vanishing to maximal rank, with initial examples provided.
Contribution
It provides a novel computational tool for curvature calculation of calibrated webs, enhancing analysis in web geometry.
Findings
Curvature vanishes when the web has maximal rank.
The program successfully computes curvature for various examples.
Supports analysis of web structures in higher dimensions.
Abstract
We present a MAPLE program for the explicit computation of the curvature of calibrated ordinary webs in codimension one in any dimension (recall that all planar webs are calibrated and ordinary). The vanishing of this curvature means the maximality of the rank. We give some first examples.
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Taxonomy
TopicsMathematics and Applications · Advanced Numerical Analysis Techniques · Computational Geometry and Mesh Generation