Dualistic Structures on Twisted Product Manifolds

Published 15 Aug 2014 in math.DG | (1408.3450v1)

Abstract: In this paper, we show that the projection of a dualistic structure defined on a twisted product manifold induces dualistic structures on the base and the fiber manifolds, and conversely. Then under some conditions on the Ricci curvature and the Weyl conformal tensor we characterize dually flat structures on twisted product manifolds.

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