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Existence and uniqueness of constant mean curvature spheres in

✍ Scribed by Daniel, Benoît; Mira, Pablo


Book ID
121873017
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2013
Tongue
English
Weight
414 KB
Volume
2013
Category
Article
ISSN
0075-4102

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Existence and uniqueness of constant mea
✍ Daniel, Benoît; Mira, Pablo 📂 Article 📅 2013 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 414 KB

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