Compatibility between non-Kähler structures on complex (nil)manifolds

DOI10.1007/s00031-022-09729-5arXiv2003.10708OpenAlexW3013603136MaRDI QIDQ6185779

A.-I. Otiman, Miron Stanciu, Liviu Ornea

Publication date: 8 January 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10708

zbMATH Keywords

Hermitian metricbalanced metric\(k\)-Gauduchon metriclocally conformally Kähler metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (1)

On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Locally conformal Hermitian metrics on complex non-Kähler manifolds
• On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics
• On the existence of special metrics in complex geometry
• Hermitian structures on six-dimensional nilmanifolds
• La 1-forme de torsion d'une variété hermitienne compacte
• A local index theorem for non-Kähler manifolds
• On locally conformal almost Kaehler manifolds
• Curvatures of left invariant metrics on Lie groups
• On the metric structure of non-Kähler complex surfaces
• Properties of manifolds with skew-symmetric torsion and special holonomy
• Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics
• Vanishing theorems on \((\ell | k)\)-strong Kähler manifolds with torsion
• A characterization of compact locally conformally hyperkähler manifolds
• A correction to: ``Tamed symplectic forms and strong Kähler with torsion metrics
• Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• On the existence of balanced and SKT metrics on nilmanifolds
• On Locally and Globally Conformal Kahler Manifolds
• On generalized Gauduchon metrics
• Symplectic manifolds with no Kähler structure
• Vanishing theorems on Hermitian manifolds

This page was built for publication: Compatibility between non-Kähler structures on complex (nil)manifolds