Corpus ID: 118778793

Q and Q-prime curvature in CR geometry

@article{Hirachi2014QAQ,
  title={Q and Q-prime curvature in CR geometry},
  author={K. Hirachi},
  journal={arXiv: Differential Geometry},
  year={2014}
}
  • K. Hirachi
  • Published 9 May 2014
  • Mathematics
  • arXiv: Differential Geometry
The Q-curvature has been playing a central role in conformal geometry since its discovery by T. Branson. It has natural analogy in CR geometry, however, the CR Q-curvature vanishes on the boundary of a strictly pseudoconvex domain in C^{n+1} with a natural choice of contact form. This fact enables us to define a "secondary" Q-curvature, which we call Q-prime curvature (it was first introduced by J. Case and P. Yang in the case n=1). The integral of the Q-prime curvature, the total Q-prime… Expand
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Variation of total Q-prime curvature on CR manifolds
Abstract We derive variational formulas for the total Q -prime curvature under the deformation of strictly pseudoconvex domains in a complex manifold. We also show that the total Q -prime curvatureExpand

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