7 citations · 9 across the 8 of their papers we have counts for
9 papers
On characteristic foliations of metric contact-symplectic structures
Amine Hadjar
We study compatible and associated metrics for a contact-symplectic pair on a manifold. We show that the integral curves of the Reeb vector field are geodesics for any com…
Invariant submanifolds of metric contact pairs
Amine Hadjar, Paola Piu
We show that -invariant submanifolds of metric contact pairs with orthogonal characteristic foliations make constant angles with the Reeb vector fields. Our main result is that…
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…
Minimality of invariant submanifolds in Metric Contact Pair Geometry
Gianluca Bande, Amine Hadjar
We study invariant submanifolds of manifolds endowed with a normal or complex metric contact pair with decomposable endomorphism field . For the normal case, we prove that a …
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…
On the Characteristic Foliations of Metric Contact Pairs
Gianluca Bande, Amine Hadjar
A contact pair on a manifold always admits an associated metric for which the two characteristic contact foliations are orthogonal. We show that all these metrics have the same vol…
Contact pair structures and associated metrics
G. Bande, A. Hadjar
We introduce the notion of contact pair structure and the corresponding associated metrics, in the same spirit of the geometry of almost contact structures. We prove that, with res…
On normal contact pairs
G. Bande, A. Hadjar
We consider manifolds endowed with a contact pair structure. To such a structure are naturally associated two almost complex structures. If they are both integrable, we call the st…
Contact Pairs
Gianluca Bande, Amine Hadjar
We introduce a new geometric structure on differentiable manifolds. A \textit{Contact} \textit{Pair}on a manifold is a pair of Pfaffian forms of constant classes $2k+1…