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Tubular neighborhoods of totally geodesic hypersurfaces in hyperbolic manifolds

✍ Scribed by Ara Basmajian


Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
889 KB
Volume
117
Category
Article
ISSN
0020-9910

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On an asymptotically hyperbolic Einstein manifold (M, g 0 ) for which the Yamabe invariant of the conformal structure on the boundary at infinity is nonnegative, we show that the operators of Ricci curvature, and of Einstein curvature, are locally invertible in a neighborhood of the metric g 0 . We