Displaying similar documents to “Complete lift of a structure satisfying f k - ( - 1 ) k + 1 f = 0 .”

Connections for non-holonomic 3-webs

Vanžurová, Alena

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A non-holonomic 3-web is defined by two operators P and B such that P is a projector, B is involutory, and they are connected via the relation P B + B P = B . The so-called parallelizing connection with respect to which the 3-web distributions are parallel is defined. Some simple properties of such connections are found.

A-manifolds on a principal torus bundle over an almost Hodge A-manifold base

Grzegorz Zborowski (2015)

Annales UMCS, Mathematica

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An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇XXRic(X,X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds