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arxiv: 1505.08007 · v1 · pith:T3ZAP35Pnew · submitted 2015-05-29 · 🧮 math.DG · math.CV

Locally conformal Hermitian metrics on complex non-K\"ahler manifolds

classification 🧮 math.DG math.CV
keywords conformallocallymetricsahlercomplexexistencehermitianmanifolds
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We study complex non-K\"ahler manifolds with Hermitian metrics being locally conformal to metrics with special cohomological properties. In particular, we provide examples where the existence of locally conformal holomorphic-tamed structures implies the existence of locally conformal K\"ahler metrics, too.

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