Rigidity at the boundary for conformal structures and other Cartan geometries

Details Rigidity at the boundary for conformal structures and other Cartan geometries Rigidity at the boundary for conformal structures and other Cartan geometries

2008-06-05

arxiv.org/abs/0806.1008v1

Mathematics

Differential Geometry

Scientific paper

In this paper, we consider the problem of building a conformal boundary, embedding a pseudo-Riamnnian manifold as an open subset of a bigger one. We get first results about conformal maximality. We also show that in dimension $\geq 3$, there are rigidity properties for the topological boundary of such a conformal embedding. We get results of the same kind about general Cartan geometries.

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