We study complex non-Kähler 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 Kähler metrics, too.
Locally Conformal Hermitian Metrics on Complex Non-Kähler Manifolds / Angella, Daniele; Ugarte, Luis. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - STAMPA. - 13:(2016), pp. 2105-2145. [10.1007/s00009-015-0586-3]
Locally Conformal Hermitian Metrics on Complex Non-Kähler Manifolds
ANGELLA, DANIELE;
2016
Abstract
We study complex non-Kähler 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 Kähler metrics, too.
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