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On contravariant product conjugate connections
A. M. Blaga
Received: November 21, 2010; Accepted: October 27, 2011
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.
Keywords: Almost product structure; covariant and contravariant connection.
AMS Subject classification: Primary: 53B05, 53C15
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