The gap phenomenon in the dimension study of finite type systems

• Autorzy: Boris Kruglikov
• Języki publikacji: EN

Abstrakty

EN

Several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case when the structure is associated to a vector distribution, is proposed.

Słowa kluczowe

EN

Overdetermined systems; Compatibility; Symmetric models; Polynomial integrals; Tanaka algebra

Kategorie tematyczne

• 53B99: None of the above, but in this section
• 37J15: Symmetries, invariants, invariant manifolds, momentum maps, reduction
• 58J70: Invariance and symmetry properties
• 53A55: Differential invariants (local theory), geometric objects

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 5
• Strony: 1605-1618

Daty

wydano

2012-10-01

online

2012-07-24

Twórcy

autor

Boris Kruglikov

• University of Tromsø

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0070-2