Courbure des tissus planaires définis implicitement par une équation différentielle polynomiale en y'. Programmation Article Swipe
Jean-Paul Dufour
,
Daniel Lehmann
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1505.00129
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1505.00129
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)!$.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1505.00129
- https://arxiv.org/pdf/1505.00129
- OA Status
- green
- References
- 1
- OpenAlex ID
- https://openalex.org/W1595700846
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https://openalex.org/W1595700846Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1505.00129Digital Object Identifier
- Title
-
Courbure des tissus planaires définis implicitement par une équation différentielle polynomiale en y'. ProgrammationWork title
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preprintOpenAlex work type
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enPrimary language
- Publication year
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2015Year of publication
- Publication date
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2015-05-01Full publication date if available
- Authors
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Jean-Paul Dufour, Daniel LehmannList of authors in order
- Landing page
-
https://arxiv.org/abs/1505.00129Publisher landing page
- PDF URL
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https://arxiv.org/pdf/1505.00129Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1505.00129Direct OA link when available
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Mathematics, Curvature, Planar, Codimension, Combinatorics, Physics, Mathematical analysis, Geometry, Computer science, Computer graphics (images)Top concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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1Number of works referenced by this work
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