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
Bochner-flat, Locally conformally flat, Normal metric contact pairs, Vaisman manifolds, Geometry and topology, Analysis, Political science and international relations
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/135107
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