Rigidity at the boundary for conformal structures and other Cartan geometries

2008/06/05 by Frances, Charles
#53A30 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0806.1008

Abstract

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 ≥ 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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