Every smooth normalized positive triple of closed two-forms on a closed connected oriented four-manifold deforms smoothly through positive closed triples to a hyperkähler triple while preserving each of its three cohomology classes.
Every smooth normalized positive triple of closed two-forms on a closed connected oriented four-manifold deforms smoothly through positive closed triples to a hyperkähler triple while preserving each of its three cohomology classes.
Every smooth normalized positive triple of closed two-forms on a closed connected oriented four-manifold deforms smoothly through positive closed triples to a hyperkähler triple while preserving each of its three cohomology classes.
If correct, resolves the fixed-class deformation conjecture for arbitrary positive closed triples, beyond earlier symmetry and convergence regimes.
Can every positive closed triple on a closed four-manifold be deformed within its three cohomology classes to a hyperkähler triple?
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OpenAI reports cohomology-preserving hypersymplectic deformation
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