In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M,g) with smooth boundary there exists a metric conformal to g with constant T-curvature, zero Q-curvature and zero mean curvature ...

Given a compact four dimensional smooth Riemannian manifold (M, g) with smooth boundary, we consider the evolution equation by Q-curvature in the interior keeping the T-curvature and the mean curvature to be zero and the ...

We study the existence of solutions for the prescribed scalar curvature problem on Sn with n ≥ 3. We prove that given an arbitrary K0 ∈ C2(Sn), K0 > 0, any positive ϵ, any α in (0, 1), and any integer l we can find such ...