### 2007-11

by Yuxin, Ge, Guofang Wang.

**Series:** 2007-11, Preprints

- MSC:
- 53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions
- 35J60 Nonlinear elliptic equations
- 58E11 Critical metrics

**Abstract:**

In this paper, we continue our previous work to

consider a conformal quotient equation $\frac{\s_2(g)}{\s_1(g)}=1$

in a given conformal class and prove the existence for $n>4$.

**Keywords:**

conformal quotient equation, Yamabe problem