Translation Hypersurfaces with Constant Sr Curvature in the Euclidean Space

DOI10.1590/0001-3765201620150326zbMath1371.53005arXiv1402.2362OpenAlexW1516355027WikidataQ88916735 ScholiaQ88916735MaRDI QIDQ4977281

Barnabé Pessoa Lima, Newton Luís Santos, Juscelino Silva, Paulo Alexandre Araújo Sousa

Publication date: 16 August 2017

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2362

zbMATH Keywords

Euclidean spaceScherk's surfacetranslation hypersurfaces\(r\)-curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

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Cites Work

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• Translation hypersurfaces with constant curvature in space forms
• Minimal translation surfaces in Sol\(_{3}\)
• Minimal translation surfaces in hyperbolic space
• Minimal translation surfaces in the Heisenberg group \(\mathrm{Nil}_{3}\)
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• TRANSLATION AND HOMOTHETICAL SURFACES IN EUCLIDEAN SPACE WITH CONSTANT CURVATURE