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f-Harmonic Maps Within Bounded Distance from Quasi-isometric Maps

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Abstract

In this article, we prove that a quasi-isometric map between rank one symmetric spaces is within bounded distance from an f-harmonic map.

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Acknowledgements

The authors thank the reviewers for their helpful suggestions. This work is partially supported by NSFC (Grant Nos. 11971358, 11571259, 11771339), Hubei Provincial Natural Science Foundation of China (No. 2021CFB400), Fundamental Research Funds for the Central Universities (No. 2042019kf0198), and the Youth Talent Training Program of Wuhan University.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People’s Republic of China

    Qun Chen, Kaipeng Li & Hongbing Qiu

  2. Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, 430072, People’s Republic of China

    Qun Chen & Hongbing Qiu

Authors
  1. Qun Chen
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  2. Kaipeng Li
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  3. Hongbing Qiu
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Correspondence to Kaipeng Li.

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Chen, Q., Li, K. & Qiu, H. f-Harmonic Maps Within Bounded Distance from Quasi-isometric Maps. Commun. Math. Stat. 11, 815–825 (2023). https://doi.org/10.1007/s40304-021-00276-1

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  • DOI: https://doi.org/10.1007/s40304-021-00276-1

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