Locally Conformal Hermitian Metrics on Complex Non-Kähler Manifolds

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作者
Daniele Angella
Luis Ugarte
机构
[1] Universidad de Zaragoza,Istituto Nazionale di Alta Matematica, Departamento de Matemáticas
[2] Collegio Puteano,I.U.M.A
[3] Scuola Normale Superiore,Centro di Ricerca Matematica “Ennio de Giorgi”
[4] Universidad de Zaragoza,Departamento de Matemáticas
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关键词
32Q99; 53C55; 53C30; Complex manifold; locally conformal Kähler; balanced metric; locally conformal balanced; holomorphic-tamed; -Lemma; nilmanifold; solvmanifold;
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摘要
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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页码:2105 / 2145
页数:40
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