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Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections

Anna Bednarska (2011)

Annales UMCS, Mathematica

We classify all F2Mm1, m2, n1, n2-natural operators Atransforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle Lfib-fib(Y) on Y. Moreover, we classify all F2Mm1, m2, n1, n2-natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1, m2, n1, n2) into Euler...

Les espaces de König du point de vue des espaces fibrés à connexion

Alois Švec (1962)

Commentationes Mathematicae Universitatis Carolinae

Lie contact manifolds. II.

Hajime Sato, Keizo Yamaguchi (1993)

Mathematische Annalen

Lie derivatives and natural operators

Kolář, Ivan (1980)

Abstracta. 8th Winter School on Abstract Analysis

Lie theory and the Chern–Weil homomorphism

Anton Alekseev, Eckhard Meinrenken (2005)

Annales scientifiques de l'École Normale Supérieure

Lift spaces and generalized connections

Aleksander Całka (1985)

Colloquium Mathematicae

Lifts and isomorphisms of commutation in bundles of jets.

Fernando Etayo Gordejuela (1988)

Collectanea Mathematica

Lifts of derivations to the frame bundle

Manuel de León, Modesto R. Salgado (1987)

Czechoslovak Mathematical Journal

Lifts of the almost complex structures to $T ({Osc}^{2} M)$ .

Atanasiu, Gheorghe, Voicu, Nicoleta (1999)

Novi Sad Journal of Mathematics

Linear direct connections

Jan Kubarski, Nicolae Teleman (2007)

Banach Center Publications

In this paper we study the geometry of direct connections in smooth vector bundles (see N. Teleman [Tn.3]); we show that the infinitesimal part, $\nabla^{τ}$ , of a direct connection τ is a linear connection. We determine the curvature tensor of the associated linear connection $\nabla^{τ} .$ As an application of these results, we present a direct proof of N. Teleman’s Theorem 6.2 [Tn.3], which shows that it is possible to represent the Chern character of smooth vector bundles as the periodic cyclic homology class of a...

Linear transformations of $n$ -connections in ${Osc}^{2} M$ . II.

Čomić, Irena, Purcaru, Monica (2003)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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