English

Boundary Expansions of Complete Conformal Metrics with Negative Ricci Curvatures

Analysis of PDEs 2017-04-14 v2

Abstract

We study the boundary behaviors of a complete conformal metric which solves the σk\sigma_k-Ricci problem on the interior of a manifold with boundary. We establish asymptotic expansions and also C1C^1 and C2C^2 estimates for this metric multiplied by the square of the distance in a small neighborhood of the boundary.

Keywords

Cite

@article{arxiv.1704.02814,
  title  = {Boundary Expansions of Complete Conformal Metrics with Negative Ricci Curvatures},
  author = {Yue Wang},
  journal= {arXiv preprint arXiv:1704.02814},
  year   = {2017}
}