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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn078, 13 pages, doi:10.1093/imrn/rnn078 published on July 21, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org.

On a Family of Conformally Flat Hamiltonian–Minimal Lagrangian Tori in Formula

Andrey E. Mironov1 and Dafeng Zuo2,3

1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University, Novosibirsk, Russian Federation
2 School of Mathematics, Korea Institute for Advanced Study 207-43 Cheongnyangni 2-dong, Dongdaemun-gu Seoul, 130-722 Korea
3 Department of Mathematics, University of Science and Technology of China, Hefei 230026, P.R. China

Correspondence: Correspondence to be sent to: dfzuo{at}kias.re.kr

In this paper, by means of reduction we construct a family of conformally flat Hamiltonian–minimal Lagrangian tori in Formula as the image of the composition of the Hopf map Formula and a map Formula under certain conditions.



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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
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Right arrow How to cite this article
Google Scholar
Right arrow Articles by Mironov, A. E.
Right arrow Articles by Zuo, D.
Social Bookmarking
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What's this?