Note demonstrates holomorphic nature of higher Bers maps in Teichmüller spaces with Hölder derivatives, indicating a deeper connection between these concepts.
In this note, we prove that the higher Bers maps induced by a kind of higher order Schwarzian derivatives on the Teichmüller spaces of circle diffeomorphisms with Hölder continuous derivative are holomorphic.
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Hu et al. (2026) studied this question.
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