Special connections on smooth 3-web manifolds

Vanžurová, Alena

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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.

On projectable objects on fibred manifolds

Vasile Cruceanu, Marcela Popescu, Paul Popescu (2001)

Archivum Mathematicum

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The aim of this paper is to study the projectable and $N$ -projectable objects (tensors, derivations and linear connections) on the total space $E$ of a fibred manifold $ξ$ , where $N$ is a normalization of $ξ$ .