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On contravariant product conjugate connections

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Author(s): A. M. Blaga

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 1;
Start page: 1;
Date: 2012;
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Keywords: Almost product structure | covariant and contravariant connection

ABSTRACT
Invariance properties for the covariant and contravariant connections on a Riemannian manifold with respect to an almost product structure are stated. Restricting to a distribution of the contravariant connections is also discussed. The particular case of the conjugate connection is investigated and properties of the extended structural and virtual tensors for the contravariant connections are given.
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