Potential one-forms for hyperk\"ahler structures with torsion

Liviu Ornea; Yat Sun Poon; Andrew Swann

doi:10.1088/0264-9381/20/9/317

Potential one-forms for hyperk\"ahler structures with torsion

微分几何 2009-11-07 v1 高能物理 - 理论数学物理 math.MP

作者: Liviu Ornea , Yat Sun Poon , Andrew Swann

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摘要

It is shown that an HKT-space with closed parallel potential 1-form has $D(2,1;-1)$ -symmetry. Every locally conformally hyperk\"ahler manifold generates this type of geometry. The HKT-spaces with closed parallel potential 1-form arising in this way are characterized by their symmetries and an inhomogeneous cubic condition on their torsion.

关键词

kähler manifolds almost contact manifolds kähler metrics

引用

@article{arxiv.math/0211427,
  title  = {Potential one-forms for hyperk\"ahler structures with torsion},
  author = {Liviu Ornea and Yat Sun Poon and Andrew Swann},
  journal= {arXiv preprint arXiv:math/0211427},
  year   = {2009}
}

备注

16 pages, Latex, no figures

Potential one-forms for hyperk\"ahler structures with torsion

摘要

关键词

引用

备注

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