Locally conformal Kähler reduction

DOI10.1515/crll.2005.2005.581.1zbMath1080.53066arXivmath/0208208OpenAlexW2963811021MaRDI QIDQ4677650

Liviu Ornea, Maurizio Parton, Rosa Gini

Publication date: 12 May 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208208

zbMATH Keywords

Hermitian manifoldlocally conformal Kähler manifoldquotient construction

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Momentum maps; symplectic reduction (53D20)

Related Items

Toric Vaisman manifolds ⋮ Reduction of Vaisman structures in complex and quaternionic geometry ⋮ Levi-Civita Ricci-flat metrics on non-Kähler Calabi-Yau manifolds ⋮ On the Gauduchon curvature of Hermitian manifolds ⋮ Examples of non-trivial rank in locally conformal Kähler geometry ⋮ Locally conformally symplectic and Kähler geometry ⋮ An immersion theorem for Vaisman manifolds ⋮ Universal models via embedding and reduction for locally conformal symplectic structures ⋮ Locally conformally Kähler structures on four-dimensional solvable Lie algebras ⋮ LCK metrics on toric LCS manifolds ⋮ Locally conformally symplectic reduction

Cites Work

• Locally conformally Kähler metrics on Hopf surfaces
• A classification of \(S^{3}\)-bundles over \(S^{4}\)
• On the metric structure of non-Kähler complex surfaces
• Generalized Hopf manifolds
• Reduction of Sasakian manifolds
• On Locally and Globally Conformal Kahler Manifolds
• Riemannian geometry of contact and symplectic manifolds
• Reduction for locally conformal symplectic manifolds