Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898252 | Differential Geometry and its Applications | 2018 | 6 Pages |
Abstract
We prove that a compact lcK manifold with holomorphic Lee vector field is Vaisman provided that either the Lee field has constant norm or the metric is Gauduchon (i.e., the Lee field is divergence-free). We also give examples of compact lcK manifolds with holomorphic Lee vector field which are not Vaisman.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andrei Moroianu, Sergiu Moroianu, Liviu Ornea,