On the Gauss curvature of compact surfaces in homogeneous 3-manifolds

DOI10.1090/S0002-9939-10-10316-5zbMath1204.53047arXiv0903.1735OpenAlexW1977233472WikidataQ125857051 ScholiaQ125857051MaRDI QIDQ3574831

Francisco Urbano, Francisco Torralbo

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1735

zbMATH Keywords

Gauss curvaturecompact surfaces in homogeneous 3-manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

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Index of compact minimal submanifolds of the Berger spheres ⋮ Compact surfaces of constant Gaussian curvature in Randers manifolds ⋮ Rotationally invariant constant Gauss curvature surfaces in Berger spheres ⋮ Willmore surfaces and Hopf tori in homogeneous 3-manifolds ⋮ The variation of a functional on the Riemannian submanifolds and its applications ⋮ Rigidity of cmc surfaces in the Berger sphere ⋮ On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds ⋮ Uniqueness of Lorentzian Hopf tori ⋮ The Abresch–Rosenberg shape operator and applications ⋮ On rigidity phenomena of compact surfaces in homogeneous $3$-manifolds

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