English

Conformal Deformation on Manifolds with Boundary

Differential Geometry 2008-11-18 v1 Analysis of PDEs

Abstract

We consider natural conformal invariants arising from the Gauss-Bonnet formulas on manifolds with boundary, and study conformal deformation problems associated to them. The key technique we used is to derive boundary C^2 estimates directly from C^0 estimates for fully nonlinear equations. The main result has appeared in the author's thesis.

Keywords

Cite

@article{arxiv.0811.2521,
  title  = {Conformal Deformation on Manifolds with Boundary},
  author = {Szu-yu Sophie Chen},
  journal= {arXiv preprint arXiv:0811.2521},
  year   = {2008}
}

Comments

38 pages

R2 v1 2026-06-21T11:42:06.872Z