Corpus ID: 1771338

Isoperimetric inequality, $Q$-curvature and $A_p$ weights

@article{Wang2013IsoperimetricI,
  title={Isoperimetric inequality, \$Q\$-curvature and \$A\_p\$ weights},
  author={Yi Wang},
  journal={arXiv: Analysis of PDEs},
  year={2013}
}
  • Yi Wang
  • Published 2013
  • Mathematics
  • arXiv: Analysis of PDEs
A well known question in differential geometry is to control the constant in isoperimetric inequality by intrinsic curvature conditions. In dimension 2, the constant can be controlled by the integral of the positive part of the Gaussian curvature. In this paper, we showed that on simply connected conformal flat manifolds of higher dimensions, the role of the Gaussian curvature can be replaced by the Branson $Q$- curvature. We achieve this by exploring the relationship between $A_p$ weights and… Expand
CR geometry in 3-D
The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds
The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds

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