Geodesic
On contravariant product conjugate connections
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 1, pp. 1-8 
A. M. Blaga; A. M. Blaga. On contravariant product conjugate connections. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a0/
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     title = { On contravariant product conjugate connections},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {1--8},
     year = {2012},
     volume = {81},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.