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

Title:

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

Creator:

Jiří Tomáš

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ece61c24-3c2e-4819-87d5-b3b8d9798312
uuid:ece61c24-3c2e-4819-87d5-b3b8d9798312
issn:0011-4642

Subject:

matematika, mathematics, r-jet, bundle functor, Weil functor, Lie group, jet group, B-admissible A-velocity, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let M be an m-dimensional manifold and A = Dr k/I = R⊕NA a Weil algebra of height r. We prove that any A-covelocity TA x f ∈ TA x M, x ∈ M is determined by its values over arbitrary max{widthA,m} regular and under the first jet projection linearly independent elements of TA x M. 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 TA M ≃ T r M without coordinate computations, which improves and generalizes the partial result obtained in Tomáš (2009) from m > k to all cases of m. We also introduce the space JA(M,N) of A-jets and prove its rigidity in the sense of its coincidence with the classical jet space Jr(M,N)., Jiří Tomáš., and Seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

297-316

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:2

Harvested from:

CDK

Metadata only:

false