Conformal Deformation on Manifolds with Boundary

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.

38 pages

References in corpus (1)

• On Harnack inequalities and singularities of admissible metrics in the Yamabe problem

Cited by in corpus (1)

• Constant T-curvature conformal metrics on 4-manifolds with boundary