Displaying similar documents to “Integrability of tensor structures of electromagnetic type.”

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.

Special connections on smooth 3-web manifolds

Vanžurová, Alena

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For a three-web W of codimension n on a differentiable manifold M 2 n of dimension 2 n , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.