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Existence of strong Khler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations.We nd necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics { t } t which equals a xed SKT metric for t = , along a di erentiable family of complex manifolds {M t } t .
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Riccardo Piovani (2021) studied this question.
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