Locally conformal Hermitian metrics on complex non-Kähler manifolds
From MaRDI portal
Publication:305875
DOI10.1007/s00009-015-0586-3zbMath1353.32026arXiv1505.08007OpenAlexW3104093136MaRDI QIDQ305875
Publication date: 31 August 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.08007
Related Items
On Strominger Kähler-like manifolds with degenerate torsion ⋮ POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD -LEMMA ⋮ On small deformations of balanced manifolds ⋮ Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Hermitian geometry of Lie algebras with abelian ideals of codimension 2 ⋮ Compatibility between non-Kähler structures on complex (nil)manifolds ⋮ Locally conformally symplectic and Kähler geometry ⋮ Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds ⋮ Locally conformally balanced metrics on almost abelian Lie algebras ⋮ On Gauduchon Kähler-like manifolds ⋮ On local stabilities of -Kähler structures ⋮ Locally conformal SKT structures ⋮ Deformations of Dolbeault cohomology classes ⋮ On Strominger space forms ⋮ On a variational theorem of Gauduchon and torsion-critical manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
- The cohomologies of the Iwasawa manifold and of its small deformations
- On balanced Hermitian structures on Lie groups
- Tamed symplectic forms and strong Kähler with torsion metrics
- Invariant contact structures on 7-dimensional nilmanifolds
- de Rham and Dolbeault cohomology of solvmanifolds with local systems
- Hodge theory for twisted differentials
- The Fujiki class and positive degree maps
- Degree of non-Kählerianity for 6-dimensional nilmanifolds
- A note on small deformations of balanced manifolds
- Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
- On cohomological decomposition of almost-complex manifolds and deformations
- On the existence of special metrics in complex geometry
- Locally conformally Kähler metrics on certain non-Kählerian surfaces
- Complex and Kähler structures on compact solvmanifolds
- On solvable generalized Calabi-Yau manifolds
- Hermitian structures on six-dimensional nilmanifolds
- Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds
- Bihermitian metrics on Hopf surfaces
- Topology of co-symplectic/co-Kähler manifolds
- Locally conformal symplectic manifolds
- A local index theorem for non-Kähler manifolds
- Kähler and symplectic structures on nilmanifolds
- Complex parallelisable manifolds and their small deformations
- Curvatures of left invariant metrics on Lie groups
- On automorphism groups of compact Kähler manifolds
- A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
- Locally conformal Kähler geometry
- On the metric structure of non-Kähler complex surfaces
- Bott-Chern cohomology of solvmanifolds
- On locally conformal symplectic manifolds of the first kind
- Families of strong KT structures in six dimensions
- Complex geometry. An introduction
- Hodge structure on symplectic manifolds
- Techniques of computations of Dolbeault cohomology of solvmanifolds
- Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics
- Vanishing theorems on \((\ell | k)\)-strong Kähler manifolds with torsion
- On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
- Balanced Hermitian geometry on 6-dimensional nilmanifolds
- Cohomology theories on locally conformal symplectic manifolds
- Generalized complex structures on nilmanifolds
- Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
- On fibering certain foliated manifolds over \(S^1\)
- 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 Bott–Chern cohomology and balanced Hermitian nilmanifolds
- Tamed symplectic structures on compact solvmanifolds of completely solvable type
- Minimal Models of Nilmanifolds
- Cohomologies of deformations of solvmanifolds and closedness of some properties
- Obstructions to the existence of Kähler structures on compact complex manifolds
- Six-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle
- On Locally and Globally Conformal Kahler Manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Self-duality in four-dimensional Riemannian geometry
- Local calibrations of almost complex structures
- Some examples of non calibrable almost complex structures
- A Parabolic Flow of Pluriclosed Metrics
- Deformation openness and closedness of various classes of compact complex manifolds; Examples
- An Introduction to Contact Topology
- On generalized Gauduchon metrics
- Riemannian geometry of contact and symplectic manifolds
- Complex structures on nilpotent Lie algebras
- Dolbeault cohomology of compact nilmanifolds
- Vanishing theorems on Hermitian manifolds
- Lectures on symplectic geometry
- On Bott-Chern cohomology of compact complex surfaces
