Examples and structure of CMC surfaces in some Riemannian and Lorentzian homogeneous spaces

DOI10.1307/mmj/1177681991zbMath1144.53075arXivmath/0511530OpenAlexW2082974467WikidataQ115238963 ScholiaQ115238963MaRDI QIDQ2460992

Jorge Herbert S. de Lira, Marcos Petrúcio De A. Cavalcante

Publication date: 19 November 2007

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511530

zbMATH Keywords

quadratic differentialHopf differentialLorentzian metricconstant mean curvature Killing graphsrotationally invariant discs

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (4)

A characterization of constant mean curvature surfaces in homogeneous 3-manifolds ⋮ Capillary immersions in \(\mathbb {E}(\kappa , \tau )\) ⋮ Compact surfaces with constant Gaussian curvature in product spaces ⋮ A Hopf theorem for open surfaces in product spaces

Cites Work

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