Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
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Publication:6622298
DOI10.1007/s10455-024-09972-xMaRDI QIDQ6622298
Luis Ugarte, Raquel Villacampa, Adela Latorre
Publication date: 22 October 2024
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Compact Kähler manifolds: generalizations, classification (32J27)
Cites Work
- Unnamed Item
- Unnamed Item
- Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
- On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics
- The Dolbeault-cohomology ring of a compact, even-dimensional Lie group
- On the existence of special metrics in complex geometry
- The Frölicher spectral sequence can be arbitrarily non-degenerate
- La 1-forme de torsion d'une variété hermitienne compacte
- Real homotopy theory of Kähler manifolds
- On compact complex parallelisable solvmanifolds
- Infinitesimal computations in topology
- Dolbeault model and holomorphic fibre bundles
- A general description of the terms in the Frölicher spectral sequence
- A family of complex nilmanifolds with in finitely many real homotopy types
- Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics
- Vanishing theorems on \((\ell | k)\)-strong Kähler manifolds with torsion
- Higher-page Bott-Chern and Aeppli cohomologies and applications
- \(p\)-Kähler and balanced structures on nilmanifolds with nilpotent complex structures
- Complex structures on nilpotent Lie algebras with one-dimensional center
- On linear combinations of cohomological invariants of compact complex manifolds
- SKT structures on nilmanifolds
- Another proof of the persistence of Serre symmetry in the Frölicher spectral sequence
- Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
- The Frölicher spectral sequence of certain solvmanifolds
- Adiabatic limit and the Frölicher spectral sequence
- A correction to: ``Tamed symplectic forms and strong Kähler with torsion metrics
- On generalized Gauduchon nilmanifolds
- The Frölicher spectral sequence for compact nilmanifolds
- On the existence of balanced and SKT metrics on nilmanifolds
- Degeneration at E2 of certain spectral sequences
- Minimal Models of Nilmanifolds
- Classification of minimal algebras over any field up to dimension $6$
- On Bismut flat manifolds
- Geometry of nilmanifolds with left-invariant complex structure and deformations in the large
- The nondegeneration of the Hodge-de Rham spectral sequence
- 7-Dimensional Nilpotent Lie Algebras
- Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups
- The ascending central series of nilpotent Lie algebras with complex structure
- On generalized Gauduchon metrics
- RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS
- On the structure of double complexes
- Rational homotopy theory and differential forms
- Vanishing theorems on Hermitian manifolds
- Non-Kähler Calabi-Yau geometry and pluriclosed flow
- Compatibility between non-Kähler structures on complex (nil)manifolds
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