This work was done while the authors were visiting the Morningside Center of Mathematics in CAS. We would like to thank the hospitality and support of the center. The first author was supported by Nat
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Suppose that f:Hn → Hn (n≥2) maps any r-dimensional hyperplane (1≤r【n) into an r-dimensional hyperplane. In this paper, we prove that f is an isometry if an
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