Deformations of Strong Kähler with torsion metrics-Reference-Cited by-同舟云学术

Deformations of Strong Kähler with torsion metrics

Published:2021-01-01 Issue:1 Volume:8 Page:286-301
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Piovani Riccardo¹,Sferruzza Tommaso²

Affiliation:

1. Dipartimento di Matematica , Università di Pisa

2. Dipartimento di Scienze Matematiche, Fisiche e Informatiche , Università di Parma

Abstract

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 .

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2020-0120/pdf

Reference22 articles.

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