A Fourth Order Curvature Flow on a Cr 3-manifold

@inproceedings{Chang2006AFO,
  title={A Fourth Order Curvature Flow on a Cr 3-manifold},
  author={Shu-Cheng Chang and J. Cheng and Hung-Lin Chiu},
  year={2006}
}
Abstract. Let (M, J, θ0) be a closed pseudohermitian 3-manifold. Suppose the associated torsion vanishes and the associated Q-curvature has no kernel part with respect to the associated Paneitz operator. On such a background pseudohermitian 3-manifold, we study the change of the contact form according to a certain version of normalized Q-curvature flow. This is a fourth order evolution equation. We prove that the solution exists for all time and converges smoothly to a contact form of zero Q… CONTINUE READING

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