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Applications of a completeness lemma in minimal surface theory to various classes of surfaces

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Publication:5894134
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DOI10.1112/blms/bdq094zbMath1211.53081arXiv0909.1128OpenAlexW2149997020WikidataQ124801748 ScholiaQ124801748MaRDI QIDQ5894134

Kotaro Yamada, Masaaki Umehara

Publication date: 18 February 2011

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1128


zbMATH Keywords

finite total curvaturede Sitter 3-spaceweak completenessmean curvature one surfaces


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)


Related Items (4)

On the maximal number of exceptional values of Gauss maps for various classes of surfaces ⋮ Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space ⋮ Value distribution of the Gauss map of improper affine spheres ⋮ Value distribution for the Gauss maps of various classes of surfaces




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