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arxiv: 1008.4954 · v2 · pith:ASOJQ6HBnew · submitted 2010-08-29 · 🧮 math.DG

Complex homothetic foliations on K\"ahler manifolds

classification 🧮 math.DG
keywords complexfoliationshomothetickaehlermanifoldsadditionalahleralmost
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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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