Conformal vector fields on Kaehler manifolds
The author studies analytic conformal vector fields on non-compact Kähler manifolds \(M\) and looks for necessary conditions in order that such objects become Killing vector fields. The main results of the paper prove that two such additional hypothesis are: (i) \(\dim M \neq 4\) ; \(M\) has constant nowhere vanishing scalar curvature. (ii) \(\dim M \geq 4\); \(M\) is an Einstein manifold which is not non-Ricci flat.
scientific article; zbMATH DE number 5947317
scientific article