Deformations of strong Kähler with torsion metrics

DOI10.1515/coma-2020-0120zbMath1482.32012arXiv2008.11983OpenAlexW3087066523MaRDI QIDQ2246894

Tommaso Sferruzza, Riccardo Piovani

Publication date: 16 November 2021

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11983

zbMATH Keywords

deformations of complex structuresSKT metrics

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Deformations of complex structures (32G05)

Related Items (4)

Deformations of balanced metrics ⋮ Polarisation of SKT Calabi-Yau ∂∂̄-manifolds by Aeppli classes ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Deformations of astheno-Kähler metrics

Cites Work

• An intrinsic characterization of Kähler manifolds
• Blow-ups and resolutions of strong Kähler with torsion metrics
• Several special complex structures and their deformation properties
• Properties of manifolds with skew-symmetric torsion and special holonomy
• Families of strong KT structures in six dimensions
• Complex geometry. An introduction
• Hodge theory of SKT manifolds
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• Small Deformations of a Class of Compact Non-Kahler Manifolds
• On strong Kähler and astheno-Kähler metrics on nilmanifolds
• A Parabolic Flow of Pluriclosed Metrics
• On astheno-Kähler metrics
• STABILITY OF ABELIAN COMPLEX STRUCTURES
• Special metrics on compact complex manifolds
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