MathDB3 problems
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Gray–Wolf converse conjecture for homogeneous nearly Kähler manifolds
Gray–Wolf converse conjecture. Every homogeneous nearly Kähler manifold is a 3-symmetric space.
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The compact nearly Kähler 3-symmetric-space conjecture
Compact nearly Kähler conjecture. Every compact nearly Kähler manifold is a 3-symmetric space.
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Gray and Wolf's conjecture on homogeneous nearly Kähler manifolds
Gray and Wolf's conjecture. Every nearly Kähler homogeneous manifold is a 3-symmetric space equipped with its canonical almost complex structure.