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Article overview
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Courbure des tissus planaires d'efinis implicitement par une 'equation diff'erentielle polynomiale en y'. Programmation | Jean-Paul Dufour
; Daniel Lehmann
; | Date: |
1 May 2015 | Abstract: | The aim of this paper is mainly, after some theoretical explanations, to
provide a program on Maple for computing, whatever be d, the curvature of the
planar d-web implicitely defined by a differential equation F(x,y,y’)=0, F
being polynomial of degree d with respect to y’.
Moreover, we prove in the appendix a "concentration theorem" for any
calibrated ordinary $d$-web of codimension one in n-dimensional manifold (in
particular for any planar web). Its curvature matrix, relatively to an
"adapted" trivialization, is concentrated on the (n-2+k0)!/(n-2)!k0! last lines
(the last line if n=2), k0 denoting the integer such that
d=(n-1+k0)!/(n-1)!(k0)!$. | Source: | arXiv, 1505.0129 | Services: | Forum | Review | PDF | Favorites |
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