Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614477 | Journal of Mathematical Analysis and Applications | 2016 | 9 Pages |
Abstract
Let M be a compact manifold with boundary. In this paper, we discuss some rigidity theorems on Riemannian metrics in a same conformal class that fix the boundary and satisfy certain integral condition on the scalar curvature and on the mean curvature along the boundary. As an application, we will state some rigidity theorems on the conformal class of static metrics.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ezequiel Barbosa, Heudson Mirandola, Feliciano Vitorio,