Co-polarised deformations of Gauduchon Calabi-Yau \(\partial \bar{\partial } \)-manifolds and deformation of \(p\)-SKT \(h\)-\(\partial \bar{\partial } \)-manifolds

DOI10.1007/S10231-022-01238-2OpenAlexW3176827991MaRDI QIDQ2678903

Houda Bellitir

Publication date: 25 January 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12820

zbMATH Keywords

Weil-Petersson metricdeformations of complex structuresprimitive class\(p\)-SKT manifold\( \partial \bar{\partial } \)-manifold\(h\)-\(\partial \bar{\partial } \)-manifoldco-polarisation by Gauduchon class

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Deformations of complex structures (32G05)

Related Items (1)

Polarisation of SKT Calabi-Yau ∂∂̄-manifolds by Aeppli classes

Cites Work

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• On the existence of special metrics in complex geometry
• Deformations of higher-page analogues of \(\partial{\bar{\partial}} \)-manifolds
• Adiabatic limit and the Frölicher spectral sequence
• Holomorphic deformations of balanced Calabi-Yau $\partial \bar{\partial}$-manifolds
• Deformation stability of \(p\)-SKT and \(p\)-HS manifolds
• Aeppli Cohomology Classes Associated with Gauduchon Metrics on Compact Complex Manifolds
• Six-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle
• Positivity Cones under Deformations of Complex Structures

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