On the stability of locally conformal Kähler structures

DOI10.2969/jmsj/06641375zbMath1310.53062arXiv1012.2285OpenAlexW2962940331MaRDI QIDQ482868

Ryushi Goto

Publication date: 6 January 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2285

zbMATH Keywords

deformation theorylocally conformally Kähler metricsnon-Kähler manifolds

Mathematics Subject Classification ID

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

Related Items (10)

Morse-Novikov cohomology of locally conformally Kähler surfaces ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Positivity of LCK potential ⋮ Lee classes on LCK manifolds with potential ⋮ Existence criteria for special locally conformally Kähler metrics ⋮ Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential ⋮ Locally conformally symplectic and Kähler geometry ⋮ LcK structures with holomorphic Lee vector field on Vaisman-type manifolds ⋮ LCK metrics on toric LCS manifolds ⋮ De Rham and twisted cohomology of Oeljeklaus-Toma manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unobstructed K-deformations of generalized complex structures and bi-Hermitian structures
• Vanishing of \(Ext^ i_ R(M,R)\)
• Anti-self-dual bihermitian structures on Inoue surfaces
• Locally conformally Kähler metrics on certain non-Kählerian surfaces
• Locally conformal Kähler manifolds with potential
• Deformations of generalized complex generalized Kähler structures
• Poisson structures and generalized Kähler submanifolds
• Morse-Novikov cohomology of locally conformally Kähler manifolds
• The cohomology of line bundles on Hopf manifolds
• Locally conformally Kähler metrics on Hopf surfaces
• On the metric structure of non-Kähler complex surfaces
• Generalized Hopf manifolds
• On surfaces of class VII\(_0\)
• On the computation of the Lichnerowicz--Jacobi cohomology.
• On deformations of complex analytic structures. I
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• Locally conformally Kähler metrics on Kato surfaces
• MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G₂ and SPIN(7) STRUCTURES

This page was built for publication: On the stability of locally conformal Kähler structures