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math.DG2025
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…
math.DG2025
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…
math.DG2024
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 co…