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Izvestiya: Mathematics, 2018, Volume 82, Issue 3, Pages 477–493
DOI: https://doi.org/10.1070/IM8597 (Mi im8597) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Minimal hypersurfaces in $\mathbb{S}^5$ with vanishing Gauss–Kronecker curvature

M. M. Diniza, J. A. Vilhenaa, J. F. Zapatab

a Instituto de Ciências Exatas e Naturais, Universidade Federal do Pará
b Universidade de São Paulo, Escola de Engenharia de Lorena
English version PDF (340 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM8597
Abstract: We give a local description of complete minimal hypersurfaces in $\mathbb{S}^5$ with zero Gauss–Kronecker curvature, zero $3$-mean curvature and nowhere-zero second fundamental form.
Keywords: minimal hypersurfaces, Gauss–Kronecker curvature, complete hypersurfaces.
Funding agency Grant number
Coordenaҫão de Aperfeiҫoamento de Pessoal de Nível Superior PROCAD-NF/2010
National Council for Scientific and Technological Development (CNPq)
The first and second authors were supported by CAPES (PROCAD-NF/2010), and the third by CNPq.
Received: 19.08.2016
Revised: 21.04.2017
Bibliographic databases:
Document Type: Article
UDC: 714.76
MSC: 53C42
Language: English
Original paper language: Russian
Citation: M. M. Diniz, J. A. Vilhena, J. F. Zapata, “Minimal hypersurfaces in $\mathbb{S}^5$ with vanishing Gauss–Kronecker curvature”, Izv. Math., 82:3 (2018), 477–493
Citation in format AMSBIB
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\by M.~M.~Diniz, J.~A.~Vilhena, J.~F.~Zapata
\paper Minimal hypersurfaces in $\mathbb{S}^5$ with vanishing Gauss--Kronecker curvature
\jour Izv. Math.
\yr 2018
\vol 82
\issue 3
\pages 477--493
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\crossref{https://doi.org/10.1070/IM8597}
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  • https://doi.org/10.1070/IM8597
  • https://www.mathnet.ru/eng/im/v82/i3/p31
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:370
    Russian version PDF:41
    English version PDF:13
    References:47
    First page:17
     
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