The conformal deformation detour complex for the obstruction tensor

Thomas Branson; A. Rod Gover

The conformal deformation detour complex for the obstruction tensor

微分几何 2007-05-23 v1 高能物理 - 理论

作者: Thomas Branson , A. Rod Gover

摘要

On pseudo-Riemannian manifolds of even dimension $n\geq 4$ , with everywhere vanishing (Fefferman-Graham) obstruction tensor, we construct a complex of conformally invariant differential operators. The complex controls the infinitesimal deformations of obstruction-flat structures, and, in the case of Riemannian signature the complex is elliptic.

关键词

conformal geometry deformation theory riemannian geometry

引用

@article{arxiv.math/0605192,
  title  = {The conformal deformation detour complex for the obstruction tensor},
  author = {Thomas Branson and A. Rod Gover},
  journal= {arXiv preprint arXiv:math/0605192},
  year   = {2007}
}

备注

5 pages

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