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math.DG2025
Hodge theoretic results for nearly Kähler manifolds in all dimensions
Michael Albanese, Spiro Karigiannis, Lucía Martín-Merchán +1
We generalize to nearly Kähler manifolds of arbitrary dimensions most of the Hodge-theoretic results for nearly Kähler -manifolds that were established by Verbitsky. In particul…
math.DG2022
Topology of Almost Complex Structures on Six-Manifolds
Gustavo Granja, Aleksandar Milivojević
We study the space of (orthogonal) almost complex structures on closed six-dimensional manifolds as the space of sections of the twistor space for a given metric. For a connected s…