Conformal Deformation on Manifolds with Boundary

Details Conformal Deformation on Manifolds with Boundary Conformal Deformation on Manifolds with Boundary

2008-11-15

arxiv.org/abs/0811.2521v1

Mathematics

Differential Geometry

38 pages

Scientific paper

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.

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