11 citations · 62 across the 21 of their papers we have counts for
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Reducible Riemannian manifolds with conformal product structures
Andrei Moroianu, Mihaela Pilca
We study conformal product structures on compact reducible Riemannian manifolds, and show that under a suitable technical assumption, the underlying Riemannian mani\-folds are eith…
Conformal product structures on compact Einstein manifolds
Andrei Moroianu, Mihaela Pilca
In this note we generalize our previous result, stating that if and are compact Riemannian manifolds, then any Einstein metric on the product $M:=M_1\times…
Conformal product structures on compact Kähler manifolds
Andrei Moroianu, Mihaela Pilca
A conformal product structure on a Riemannian manifold is a Weyl connection with reducible holonomy. We give the geometric description of all compact Kähler manifolds admitting con…
Einstein metrics on conformal products
Andrei Moroianu, Mihaela Pilca
We show that under some natural geometric assumption, Einstein metrics on conformal products of two compact conformal manifolds are warped product metrics.
Adapted metrics on locally conformally product manifolds
Andrei Moroianu, Mihaela Pilca
We show that the Gauduchon metric of a compact locally conformally product manifold of dimension greater than is adapted, in the sense that the Lee form of …
Conformal vector fields on lcK manifolds
Andrei Moroianu, Mihaela Pilca
We show that any conformal vector field on a compact lcK manifold is Killing with respect to the Gauduchon metric. Furthermore, we prove that any conformal vector field on a compac…