Remarks on non-maximal integral elements of the Cartan plane in jet spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F14%3A%230000447" target="_blank" >RIV/47813059:19610/14:#0000447 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0393044014000953" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0393044014000953</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2014.05.006" target="_blank" >10.1016/j.geomphys.2014.05.006</a>

Result language
angličtina
Original language name
Remarks on non-maximal integral elements of the Cartan plane in jet spaces
Original language description
There is a natural filtration on the space of degree-k homogeneous polynomials in is independent variables with coefficients in the algebra of smooth functions on the Grassmannian Gr (n, s), determined by the tautological bundle. In this paper we show that the space of s-dimensional integral elements of a Cartan plane J(k-1)(E, n), with dim E = n + m, has an affine bundle structure modeled by the so-obtained bundles over Gr (n, s), and we study a natural distribution associated with it. As an example, we show that a third-order nonlinear PDE of Monge-Ampere type is not contact-equivalent to a quasi-linear one.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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