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

The natural operators lifting connections to higher order cotangent bundles

Włodzimierz M. Mikulski (2014)

Czechoslovak Mathematical Journal

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We prove that the problem of finding all ℳ f m -natural operators C : Q ⇝ Q T r * lifting classical linear connections ∇ on m -manifolds M into classical linear connections C M ( ∇ ) 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 ⊗ ⨂ q T * sending classical linear connections ∇ on m -manifolds M into tensor fields D M ( ∇ ) of type ( p , q ) on M .

On torsion of a 3 -web

Alena Vanžurová (1995)

Mathematica Bohemica

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A 3-web on a smooth 2 n -dimensional manifold can be regarded locally as a triple of integrable n -distributions which are pairwise complementary, [5]; that is, we can work on the tangent bundle only. This approach enables us to describe a 3 -web and its properties by invariant ( 1 , 1 ) -tensor fields P and B where P is a projector and B 2 = id. The canonical Chern connection of a web-manifold can be introduced using this tensor fields, [1]. Our aim is to express the torsion tensor T of the Chern connection...