Co-polarised deformations of Gauduchon Calabi-Yaupartial derivative(partial derivative)over-bar-manifolds and deformation of p-SKT h-partial derivative(partial derivative)over-bar-manifolds

被引：0
作者：
Bellitir, Houda [1 ]
机构：
[1] Sichuan Univ, Tianyuan Math Ctr Southwest China, 24 South Sect 1,First Loop Rd, Chengdu 610065, Sichuan, Peoples R China
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 01期
关键词：
Deformations of complex structures; Co-polarisation by Gauduchon class; Primitive class; Weil-Petersson metric; partial derivative(partial derivative)over-bar-manifold; h-partial derivative(partial derivative)over-bar-manifold; p-SKT manifold; METRICS;
D O I：
10.1007/s10231-022-01238-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main result of this paper is to study the local deformations of Calabi-Yau partial derivative(partial derivative) over bar -manifold that are co-polarised by the Gauduchon metric by considering the subfamily of co-polarised fibres by the class of Aeppli/De Rham-Gauduchon cohomology of Gauduchon metric given on the central fibre. In the latter part, we prove that the p-SKT h-partial derivative(partial derivative) over bar -property is deformation open by constructing and studying a new notion called hp-Hermitian symplectic (hp-HS) form.
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页码：209 / 233
页数：25
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