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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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