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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 5, Pages 15–29
DOI: https://doi.org/10.26907/0021-3446-2019-5-15-29 (Mi ivm9460) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Minimal graph-surfaces on arbitrary two-step Carnot groups

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, 4 Acad. Koptyug Ave., Novosibirsk, 630090 Russia
Full-text PDF (421 kB) Citations (7)
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DOI: https://doi.org/10.26907/0021-3446-2019-5-15-29
Abstract: We establish basic properties of minimal graph-surfaces constructed from classes of mappings defined on two-step Carnot groups. Research methods include solving of a specific question on correctness of the problem statement. A main result on necessary minimality conditions is formulated in terms of sub-Riemannian analog of mean curvature.
Keywords: two-step Carnot group, graph-mapping, minimal surface, mean curvature.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.2, проект № 0314-2016-0006
Received: 26.03.2018
Revised: 17.07.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 5, Pages 13–26
DOI: https://doi.org/10.3103/S1066369X19050025
Bibliographic databases:
Document Type: Article
UDC: 517.2:517.4:514.7
Language: Russian
Citation: M. B. Karmanova, “Minimal graph-surfaces on arbitrary two-step Carnot groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 15–29; Russian Math. (Iz. VUZ), 63:5 (2019), 13–26
Citation in format AMSBIB
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\by M.~B.~Karmanova
\paper Minimal graph-surfaces on arbitrary two-step Carnot groups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 5
\pages 15--29
\mathnet{http://mi.mathnet.ru/ivm9460}
\crossref{https://doi.org/10.26907/0021-3446-2019-5-15-29}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 5
\pages 13--26
\crossref{https://doi.org/10.3103/S1066369X19050025}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000479071100002}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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