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arXiv · 0911.2663

Invariant Schwarzian derivatives of higher order

Seong-A Kim·Toshiyuki Sugawa
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Abstract

We argue relations between the Aharonov invariants and Tamanoi's Schwarzian derivatives of higher order and give a recursion formula for Tamanoi's Schwarzians. Then we propose a definition of invariant Schwarzian derivatives of a nonconstant holomorphic map between Riemann surfaces with conformal metrics. We show a recursion fomula also for our invariant Schwarzians.

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Seong-A Kim, Toshiyuki Sugawa. 2009-11-13. Invariant Schwarzian derivatives of higher order. https://arxiv.org/abs/0911.2663

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