$G_2$-Manifolds With Parallel Characteristic Torsion

Thomas Friedrich

$G_2$-Manifolds With Parallel Characteristic Torsion

微分几何 2007-05-23 v1

作者: Thomas Friedrich

摘要

We classify 7-dimensional cocalibrated $\G_2$ -manifolds with parallel characteristic torsion and non-abelian holonomy. All these spaces admit a metric connection $\nabla^{\mathrm{c}}$ with totally skew-symmetric torsion and a spinor field $\Psi_1$ solving the equations in the common sector of type II superstring theory. There exist $\G_2$ -structures with parallel characteristic torsion that are not naturally reductive.

关键词

holonomy almost contact manifolds algebraic topology

引用

@article{arxiv.math/0604441,
  title  = {$G_2$-Manifolds With Parallel Characteristic Torsion},
  author = {Thomas Friedrich},
  journal= {arXiv preprint arXiv:math/0604441},
  year   = {2007}
}

备注

19 pages

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