Bochner and Conformal Flatness of Normal Metric Contact Pairs

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.

To appear in Ann. Glob. Anal.. Geom

References in corpus (1)

• Minimality of invariant submanifolds in Metric Contact Pair Geometry

Cited by in corpus (1)

• Generalized Quasi-Einstein Manifolds in Contact Geometry