On skew 2-projectable almost complex structures on $TM$

Anton Dekrét

Natural liftings of $(0, 2)$ -tensor fields to the tangent bundle

Miroslav Doupovec (1994)

Archivum Mathematicum

Similarity:

We determine all first order natural operators transforming $(0, 2)$ –tensor fields on a manifold $M$ into $(0, 2)$ –tensor fields on $T M$ .

The natural operators lifting connections to higher order cotangent bundles

Włodzimierz M. Mikulski (2014)

Czechoslovak Mathematical Journal

Similarity:

We prove that the problem of finding all $ℳ f_{m}$ -natural operators $C : Q ⇝ Q T^{r *}$ lifting classical linear connections $\nabla$ on $m$ -manifolds $M$ into classical linear connections $C_{M} (\nabla)$ on the $r$ -th order cotangent bundle $T^{r *} M = J^{r} {(M, ℝ)}_{0}$ of $M$ can be reduced to the well known one of describing all $ℳ f_{m}$ -natural operators $D : Q ⇝ ⨂^{p} T \otimes ⨂^{q} T^{*}$ sending classical linear connections $\nabla$ on $m$ -manifolds $M$ into tensor fields $D_{M} (\nabla)$ of type $(p, q)$ on $M$ .

Displaying similar documents to “On skew 2-projectable almost complex structures on T M ”

Natural liftings of ( 0 , 2 ) -tensor fields to the tangent bundle

The natural operators lifting connections to higher order cotangent bundles

Displaying similar documents to “On skew 2-projectable almost complex structures on $T M$ ”

Natural liftings of $(0, 2)$ -tensor fields to the tangent bundle