Invariant Schwarzian Derivatives of Higher Order |
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| Authors: | Seong-A Kim Toshiyuki Sugawa |
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| Affiliation: | 1. Department of Mathematics Education, Dongguk University, Gyeongju, 780-714, Korea
2. Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai, 980-8579, Japan
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| Abstract: | We derive relations between the Aharonov invariants and Tamanoi’s Schwarzian derivatives of higher order and give a recursive 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 recursive formula also for our invariant Schwarzians. |
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