Complex homothetic foliations on Kähler manifolds

Details Complex homothetic foliations on Kähler manifolds Complex homothetic foliations on Kähler manifolds

2010-08-29

arxiv.org/abs/1008.4954v2

Mathematics

Differential Geometry

Final version, up to typos. To appear in BLMS

Scientific paper

10.1112/blms/bdr074

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.

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