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math.DG2015★ 7 cited
Bochner and Conformal Flatness of Normal Metric Contact Pairs
Gianluca Bande, David E. Blair, Amine Hadjar
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 Hop…
math.DG2011
Symmetry in the Geometry of Metric Contact Pairs
G. Bande, D. E. Blair
We prove that the universal covering of a complete locally symmetric normal metric contact pair manifold is a Calabi-Eckmann manifold. Moreover we show that a complete, simply conn…
math.DG2011
On the curvature of metric contact pairs
G. Bande, D. E. Blair, A. Hadjar
We consider manifolds endowed with metric contact pairs for which the two characteristic foliations are orthogonal. We give some properties of the curvature tensor and in particula…