Current Preprints
Current Preprints
Here are the currently linked preprints:
- Two Kazdan-Warner type identities for the renormalized volume coefficients and the
Gauss-Bonnet curvatures of a Riemannian metric, joint with Bin Guo and Haizhong Li.
This is the same as posted on arxiv as arXiv:0911.4649[Math DG].
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE sk-YAMABE EQUATION NEAR
ISOLATED SINGULARITIES, joint with YanYan Li and Eduardo V. Teixeira.
This version added a reference which we learned after the paper was first posted on
arxiv as arXiv:0911.0234[Math AP].
- On the prescribing $\sigma_2$ curvature equation on $\mathbb S^4$,
joint with S. -Y. Alice Chang and Paul Yang. This is the same as posted on arxiv as
arXiv:0911.0375[Math DG]
- Local pointwise estimates for
solutions of the $\sigma_2$ curvature equation on $4$ manifolds. This is the pre-print version
as of June 2004. The published version is at
IMRN, 2004, no. 79, 4269-4292.
-
Classification of singular radial solutions to the $\sigma_k$
Yamabe equation on annular domains, joint with S. -Y. A. Chang
and P. Yang. This is the pre-print version as of June 2005. The published version
is at
JDE, 216(2005), 482-501.
- A Kazdan-Warner type identity for the $\sigma_k$ curvature,
published in C. R. Acad. Sci. Paris, Ser. I 342(2006), pp. 475--478.
.
Please note a mis-statement
in lines 2--5 of Remark 4. The correction is here.
A preprint version can be found here.
Also it has been brought to my attention that Theorem 1 in the case of
$k < n$ and $(M,g)$ locally conformally flat
had been covered in Theorem 5.2 of J. Viaclovsky's
article "Some Fully Nonlinear Equations in Conformal Geometry", Differential equations and mathematical physics (Birmingham, AL, 1999) (Providence, RI), Amer. Math. Soc., Providence, RI, 2000, pp. 425--433.