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-Kähler Vaisman manifolds. © 2015, Springer Science+Business Media Dordrecht
Bochner and conformal flatness of normal metric contact pairs
BANDE, GIANLUCA;
2015
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-Kähler Vaisman manifolds. © 2015, Springer Science+Business Media Dordrecht
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