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On the boundary rigidity at strongly pseudoconvex points

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Abstract

We prove a localized version of Burns–Krantz type boundary rigidity theorem at strongly pseudoconvex points for holomorphic self-maps of some bounded taut domains in \({\mathbb {C}}^2\) with an interior fixed point.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Sentralbygg 2, Alfred Getz vei 1, 7491, Trondheim, Norway

    John Erik Fornæss

  2. Department of Mathematics, School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai, 200240, People’s Republic of China

    Feng Rong

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  1. John Erik Fornæss
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  2. Feng Rong
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Correspondence to Feng Rong.

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John Erik Fornæss is partially supported by the Norwegian Research Council (Grant no. 240569). Feng Rong is partially supported by the National Natural Science Foundation of China (Grant no. 11871333).

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Fornæss, J.E., Rong, F. On the boundary rigidity at strongly pseudoconvex points. Math. Z. 297, 453–458 (2021). https://doi.org/10.1007/s00209-020-02518-4

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  • DOI: https://doi.org/10.1007/s00209-020-02518-4

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