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The Frölicher-Nijenhuis bracket on some functional spaces

100%

Kolář I., Modungo M.

Annales Polonici Mathematici

1998

tom 68

nr 2

97-106

Two fiber bundles E₁ and E₂ over the same base space M yield the fibered set ℱ(E₁,E₂) → M, whose fibers are defined as $C^{∞}(E₁ₓ,E₂ₓ)$, for each x ∈ M. This fibered set can be regarded as a smooth space in the sense of Frölicher and we construct its tangent prolongation. Then we extend the Frölicher-Nijenhuis bracket to projectable tangent valued forms on ℱ(E₁,E₂). These forms turn out to be a kind of differential operators. In particular, we consider a general connection on ℱ(E₁,E₂) and study the associated covariant differential and curvature.

Differential invariants of generic hyperbolic Monge-Ampère equations

100%

Marvan M., Vinogradov A., Yumaguzhin V.

Open Mathematics

2007

tom 5

nr 1

105-133

In this paper basic differential invariants of generic hyperbolic Monge-Ampère equations with respect to contact transformations are constructed and the equivalence problem for these equations is solved.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

1 Kolář I.

1 Marvan M.

1 Modungo M.

1 Vinogradov A.

1 Yumaguzhin V.

1 2007

1 1998

Wyniki wyszukiwania

The Frölicher-Nijenhuis bracket on some functional spaces

Differential invariants of generic hyperbolic Monge-Ampère equations