|
This article is cited in 1 scientific paper (total in 1 paper)
On Hamiltonian-minimal isotropic homogeneous tori in $\mathbb C^n$ and $\mathbb C\mathrm P^n$
M. A. Ovcharenko
Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
We study isotropic homogeneous tori in $\mathbb C^n$ and $\mathbb C\mathrm P^n$. We find necessary and sufficient conditions for their Hamiltonian minimality.
Keywords:
isotropic submanifold, Hamiltonian-minimal submanifold.
| Funding Agency |
Grant Number |
Russian Science Foundation  |
14-11-00441 |
| The author was supported by the Russian Science Foundation (Grant 14-11-00441). |
DOI:
https://doi.org/10.17377/smzh.2018.59.517
 Full text:
PDF file (280 kB)
References:
PDF file
HTML file
English version:
Siberian Mathematical Journal, 2018, 59:5, 931–937
Bibliographic databases:
  
UDC:
514.76
MSC: 35R30
Received: 29.04.2018
Citation:
M. A. Ovcharenko, “On Hamiltonian-minimal isotropic homogeneous tori in $\mathbb C^n$ and $\mathbb C\mathrm P^n$”, Sibirsk. Mat. Zh., 59:5 (2018), 1171–1178; Siberian Math. J., 59:5 (2018), 931–937
Citation in format AMSBIB
\Bibitem{Ovc18}
\by M.~A.~Ovcharenko
\paper On Hamiltonian-minimal isotropic homogeneous tori in $\mathbb C^n$ and~$\mathbb C\mathrm P^n$
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 5
\pages 1171--1178
\mathnet{http://mi.mathnet.ru/smj3037}
\crossref{https://doi.org/10.17377/smzh.2018.59.517}
\elib{https://elibrary.ru/item.asp?id=38624444}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 5
\pages 931--937
\crossref{https://doi.org/10.1134/S0037446618050178}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000452230400017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85057443270}
Linking options:
http://mi.mathnet.ru/eng/smj3037 http://mi.mathnet.ru/eng/smj/v59/i5/p1171
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
M. A. Ovcharenko, “On Hamiltonian Minimality of Isotropic Nonhomogeneous Tori in $\mathbb{H}^n$ and $\mathbb C\mathrm P^{2n+1}$”, Math. Notes, 108:1 (2020), 108–116
|
| Number of views: |
| This page: | 158 | | Full text: | 38 | | References: | 9 | | First page: | 10 |
|
Terms of Use