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Examples of Compact Simply Connected Holomorphic Symplectic Manifolds Which Are Not Formal

open access: yesAxioms
In this paper, we prove that the complex four dimensional compact holomorphic symplectic manifold we found earlier is not formal. This gives another strong consequence that it is not a topological Kähler manifold. We also conjecture that this is true for
Daniel Guan
doaj   +1 more source

Lagrangian Fibrations. [PDF]

open access: yesMilan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

Geodesics and magnetic curves in the 4-dim almost Kähler model space F4

open access: yesComplex Manifolds
We study geodesics and magnetic trajectories in the model space F4{{\rm{F}}}^{4}. The space F4{{\rm{F}}}^{4} is isometric to the 4-dim simply connected Riemannian 3-symmetric space due to Kowalski. We describe the solvable Lie group model of F4{{\rm{F}}}^
Erjavec Zlatko, Inoguchi Jun-ichi
doaj   +1 more source

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