Bochner and Conformal Flatness of Normal Metric Contact Pairs

Published 26 Jan 2015 in math.DG | (1501.06602v3)

Abstract: We prove that the normal metric contact pairs with orthogonal characteristic foliations, which are either Bochner flat or locally conformally flat, are locally isometric to the Hopf manifolds. As a corollary we obtain the classification of locally conformally flat and Bochner-flat non-K\"ahler Vaisman manifolds.

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