Reduction theorem for general connections

Josef Janyška

Displaying similar documents to “Reduction theorem for general connections”

On third order semiholonomic prolongation of a connection

Petr Vašík (2011)

Banach Center Publications

Similarity:

We recall several different definitions of semiholonomic jet prolongations of a fibered manifold and use them to derive some interesting properties of prolongation of a first order connection to a third order semiholonomic connection.

Deviation of two curvatures

Vladimír Lešovský (1982)

Archivum Mathematicum

Similarity:

The vertical prolongation of the projectable connections

Anna Bednarska (2012)

Annales UMCS, Mathematica

Similarity:

We prove that any first order F2 Mm1,m2,n1,n2-natural operator transforming projectable general connections on an (m1,m2, n1, n2)-dimensional fibred-fibred manifold p = (p, p) : (pY : Y → Y) → (pM : M → M) into general connections on the vertical prolongation V Y → M of p: Y → M is the restriction of the (rather well-known) vertical prolongation operator V lifting general connections Γ on a fibred manifold Y → M into VΓ (the vertical prolongation of Γ) on V Y → M.

Connections in 2-fibered manifolds

Ivan Kolář (1981)

Archivum Mathematicum

Similarity:

Higher order absolute differentiation with respect to generalized connections

Ivan Kolář (1984)

Banach Center Publications

Similarity:

Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold

Josef Janyška, Marco Modugno (1996)

Archivum Mathematicum

Similarity:

All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).