Abstract
In the spirit of Kobayashi’s applications of methods of invariant metrics to questions of projective geometry, we introduce a projective analogue of the complex squeezing function. Using Frankel’s work, we prove that for convex domains it stays uniformly bounded from below. In the case of strongly convex domains, we show that it tends to 1 at the boundary. This is applied to get a new proof of a projective analogue of the Wong–Rosay theorem.
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The first named author is partially supported by the Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria under contract DN 12/2. This paper was started while he was visiting the Paul Sabatier University, Toulouse, in November 2018 as a guest professor.
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Nikolov, N., Thomas, P.J. An analogue of the squeezing function for projective maps. Annali di Matematica 199, 1885–1894 (2020). https://doi.org/10.1007/s10231-020-00947-w
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DOI: https://doi.org/10.1007/s10231-020-00947-w