Non-existence of harmonic maps on trans-Sasakian manifolds
Some conditions are put on a Riemannian \(\varphi\)-holomorphic map between two trans-Sasakian manifolds to be non-harmonic. Then some conditions are provided for a \(\varphi\)-holomorphic map, from a contact metric manifold to a trans-Sasakian manifold, to be constant. Finally, a non-existence result of a harmonic map from a locally conformal Kähler manifold to a trans-Sasakian manifold is given.
scientific article; zbMATH DE number 6602860