Existence of strong Kahler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics {omega(t)}(t) which equals a fixed SKT metric omega for t = 0, along a differentiable family of complex manifolds {M-t}(t).
Deformations of Strong Kähler with torsion metrics
Piovani, Riccardo;
2021-01-01
Abstract
Existence of strong Kahler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics {omega(t)}(t) which equals a fixed SKT metric omega for t = 0, along a differentiable family of complex manifolds {M-t}(t).
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