Complex homothetic foliations on Kähler manifolds

Abstract

We obtain a local classification of complex homothetic foliations on Kaehler manifolds by complex curves. This is used to construct almost Kaehler, Ricci-flat metrics subject to additional curvature properties.

Final version, up to typos. To appear in BLMS

Cited by in corpus (2)

• Kähler manifolds with homothetic foliations by curves
• A detailed description of the generalized Calabi type Kahler surfaces