论文标题
标量 - 平台指标在低维歧管上具有脐带边界的紧凑性结果
A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary
论文作者
论文摘要
令（m，g）带有脐带边界的紧凑型riemannian $ n $ dimensional歧管。众所周知，在某些假设下，在G的共形类别中，有标量 - 平台指标将M作为恒定平均曲率超表面的边界。在本文中，我们证明这些指标是在低维歧管的情况下，即n = 6,7,8，只要Weyl Tensor总是在边界上消失，即n = 6,7,8。
Let (M,g) a compact Riemannian $n$-dimensional manifold with umbilic boundary. It is well know that, under certain hypothesis, in the conformal class of g there are scalar-flat metrics that have the boundary of M as a constant mean curvature hypersurface. In this paper we prove that these metrics are a compact set in the case of low dimensional manifolds, that is n=6,7,8, provided that the Weyl tensor is always not vanishing on the boundary.
