A Fourth Order Curvature Flow on a Cr 3-manifold

  title={A Fourth Order Curvature Flow on a Cr 3-manifold},
  author={Shu-Cheng Chang and J. Cheng and Hung-Lin Chiu},
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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Publications referenced by this paper.
Showing 1-10 of 30 references


S.- C. Chang, Recent Developments on the Calabi Flow, Contemporary Mathematics
17-42, A.M.S., • 2005
View 1 Excerpt


S.- C. Chen, M.- C. Shaw, Partial Differential Equations in several comlex variables, Studies in Advan. Math.
AMS/IP, • 2001
View 1 Excerpt

Partial Differential Equations in several comlex variables , Studies in Advan

M.-C. Shaw
An Intrinsic Construction of Fefferman ’ s CR Metric , Pacific J . Math . • 2001

Global Existence and Convergence of Solutions of the Calabi Flow on Riemann Surfaces of Genus g ≥ 2

S.- C. Chang
J. Math. Kyoto Univ. Vol. 40, • 2000

Brendle , Global Existence and Convergence for a Higher - Order Flow in Conformal Geometry

S. B

Some Nonlinear Problems in Riemannian Geometry

T. Aubin
Springer-Verlag, Berlin • 1998
View 1 Excerpt

Scalar Pseudo-hermitian Invariants and the Szegö Kernel on 3-dimensional CR Manifolds

K. Hirachi
Lecture Notes in Pure and Appl. Math. 143, pp. 67-76, Dekker • 1992
View 2 Excerpts

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