On the rigidity for conformally compact Einstein manifolds
Qing, Jie
arXiv, 0305084 / Harvested from arXiv
Text on arXiv
In this paper we prove that a conformally compact Einstein manifold with the round sphere as its conformal infinity has to be the hyperbolic space. We do not assume the manifolds to be spin, but our approach relies on the positive mass theorem for asymptotic flat manifolds. The proof is based on understanding of positive eigenfunctions and compactifications obtained by positive eigenfunctions.
Publié le : 2003-05-05
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C25, 53C80, 58J60 
@article{0305084,
     author = {Qing, Jie},
     title = {On the rigidity for conformally compact Einstein manifolds},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305084}
}

Qing, Jie. On the rigidity for conformally compact Einstein manifolds. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305084/