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Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II

✍ Scribed by Neves, André; Tian, Gang

Book ID
118220917
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2010
Tongue
English
Weight
219 KB
Volume
2010
Category
Article
ISSN
0075-4102

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We study the classification of immersed constant mean curvature (CMC) spheres in the homogeneous Riemannian 3-manifold Sol 3 , i.e., the only Thurston 3-dimensional geometry where this problem remains open. Our main result states that, for every H > 1= p 3, there exists a unique (up to left translat