L2 -estimates on p-convex Riemannian manifolds
L2 -estimates on p-convex Riemannian manifolds
复制标题
DOI：
10.1016/j.aim.2013.12.005
复制
发表时间：
2013-05
影响因子：
1.7
通讯作者：
Qingchun Ji;Xusheng Liu;Guangsheng Yu
中科院分区：
文献类型：
--
作者：
Qingchun Ji;Xusheng Liu;Guangsheng Yu
本文在Harvey和Lawson意义下建立了p-凸黎曼流形上外微分算子的各种L2-估计。作为应用，我们建立了一个关于权函数和论域都是一致的Carleman型估计，并得到了黎曼流形是p-凸的拓扑限制.
In this paper, we establish various L 2-estimates for the exterior differential operator on p-convex Riemannian manifolds in the sense of Harvey and Lawson. As applications, we establish a Carleman type estimate which is uniform with respect to both weight functions and domains, and we also obtain topological restrictions for a Riemannian manifold to be p-convex.