The general rigidity result for bundles of A-covelocities and A-jets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F17%3APU123078" target="_blank" >RIV/00216305:26210/17:PU123078 - isvavai.cz</a>
Result on the web
<a href="http://cmj.math.cas.cz/online1st/index.html" target="_blank" >http://cmj.math.cas.cz/online1st/index.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/CMJ.20170566-15" target="_blank" >10.21136/CMJ.20170566-15</a>

Result language
angličtina
Original language name
The general rigidity result for bundles of A-covelocities and A-jets
Original language description
It is proved that any A-covelocity T^A_x f in T^{A*}_x M is determined by its values over arbitrary max{width, diím M} regular and under the first jet projection linearly independent elements of $T^A_xM$. Further, we prove the rigidity of the so-called universally reparametrizable Weil algebras. Applying essentially those partial results we give the proof of the general rigidity result identifying A-covelocities with classical jets. We also introduce the space $J^A(M,N)$ of $A$-jets and prove its rigidity in the sense of its coincidence with the classical jet space $J^r(M,N)$.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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