Deformations of Strong Kähler with torsion metrics

2020/08/27 by Piovani, Riccardo, Sferruzza, Tommaso
#32G05 #53B35 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.11983

Abstract

Existence of strong Kähler 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 \ω_t\_t which equals a fixed SKT metric ω for t=0, along a differentiable family of complex manifolds \M_t\_t.

Related

• Blow-ups and resolutions of strong Kähler with torsion metrics
• Special Hermitian metrics and Lie groups
• Deformations of balanced metrics
• A Variational Approach to SKT and Balanced Metrics
• On the existence of balanced and SKT metrics on nilmanifolds