Embeddedness of Spheres in Homogeneous Three-Manifolds

DOI10.1093/IMRN/RNW159zbMath1405.53074arXiv1601.06619OpenAlexW2963138067MaRDI QIDQ4612009

Pablo Mira, Joaquín Pérez, William Hamilton III Meeks

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06619

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General properties and structure of real Lie groups (22E15)

Related Items (5)

Constant mean curvature spheres in homogeneous three-manifolds ⋮ Rotational symmetry of Weingarten spheres in homogeneous three-manifolds ⋮ Uniqueness of constant mean curvature spheres ⋮ Uniqueness of immersed spheres in three-manifolds ⋮ Cylinders as left invariant CMC surfaces in \(\operatorname{Sol}_3\) and \(E(\kappa,\tau)\)-spaces diffeomorphic to \(\mathbb{R}^3\)

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