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Foliations associated to harmonic maps on some complex two ball quotients

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An Erratum to this article was published on 06 June 2020

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Abstract

This article is an attempt to understand harmonic and holomorphic maps between two bounded symmetric domains in special situations. We study foliations associated to a lattice-equivariant harmonic map of small rank from a complex ball to another. The result is related to rigidity of some complex two ball quotients. Some open questions are raised as well.

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  • 06 June 2020

    In [Y, p. 1146, l. 35], it is stated that ���P���#T2 has a two-fold cover that is T2���. This is a mistake. As a result, [Y, Theorem 4.2] should be corrected as follows. The numbering of the references follows [Y].

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Acknowledgements

This work was supported by the National Science Foundation of USA (Grant No. DMS1501282). It is a pleasure for the author to thank Domingo Toledo for helpful discussions and comments.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Sai-Kee Yeung

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  1. Sai-Kee Yeung
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Correspondence to Sai-Kee Yeung.

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In memory of Professor LU QiKeng (1927–2015)

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Yeung, SK. Foliations associated to harmonic maps on some complex two ball quotients. Sci. China Math. 60, 1137–1148 (2017). https://doi.org/10.1007/s11425-016-9044-8

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