Some properties of the Schouten tensor and applications to conformal geometry
The note is about some nonlinear curvature conditions which arise naturally in conformal geometry.
math.DG↗
arXiv subjects
Guofang Wang
Publications and source records attributed to Guofang Wang.
A fully nonlinear conformal flow on locally conformally flat manifolds
We study a fully nonlinear flow for conformal metrics. The long-time existence and the sequential convergence of flow are established for locally conformally flat manifolds. As an application, we solve the $\sk$-Yamabe problem for locally conformal flat manifolds when $k \neq n/2$.
math.DG↗
Classification of solutions of a Toda system in R^2
We consider solutions of a Toda system for SU(N+1) and show that any solution with finite exponential integral cam be obtained from a rational curve in complex projective space of dimension N
math-ph↗
Analytic aspects of the Toda system: I. A Moser-Trudinger inequality
We analyze solutions of the Toda system and establish an optimal Moser-Trudinger inequality
math-ph↗
Equivariant and Bott-type Seiberg-Witten Floer Homology: Part I
We construct Bott-type and equivariant Seiberg-Witten Floer homology and cohomology for 3-manifolds, in particular rational homology spheres, and prove their diffeomorphism invariance. This paper is a revised version of math.DG/9701010. Some typos are removed.
math.GT↗
Variational Aspects of the Seiberg-Witten Functional
The Seiberg-Witten equations that have recently found important applications for four-dimensional geometry are the Euler-Lagrange equations for a functional involving a connection $A$ on a line bundle $L$ and a section $ϕ$ of another bundle $W^+$ constructed from $L$ and a spinor bundle on a given four-dimensional Riemannian manifold. We show the regularity of weak solutions and the Palais-Smale condition for this functional.
dg-ga↗