Quaternionic Bott-Chern Cohomology and existence of HKT metrics

被引：8

作者：

Lejmi, Mehdi ^{[1
]}

Weber, Patrick ^{[2
]}

机构：

[1] Bronx Community Coll CUNY, Dept Math, Bronx, NY 10453 USA

[2] Univ Libre Bruxelles, Dept Math, CP218,Blvd Triomphe, B-1050 Brussels, Belgium

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2017年 / 68卷 / 03期

关键词：

INVARIANT COMPLEX STRUCTURE; DOLBEAULT COHOMOLOGY; COMPACT NILMANIFOLDS; MANIFOLDS; KAHLER; SURFACES; TORSION; GEOMETRY; BUNDLES;

D O I：

10.1093/qmath/haw060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study quaternionic Bott-Chern cohomology on compact hypercomplex manifolds and adapt some results from complex geometry to the quaternionic setting. For instance, we prove a criterion for the existence of hyperkahler with torsion metrics on compact hypercomplex manifolds of real dimension 8 analogous to the one given by Teleman [34] and Angella et al. [3] for compact complex surfaces.

引用

页码：705 / 728

页数：24

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