Invariant Schwarzian derivatives of higher order
Complex Variables
2009-11-16 v1 Classical Analysis and ODEs
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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Cite
@article{arxiv.0911.2663,
title = {Invariant Schwarzian derivatives of higher order},
author = {Seong-A Kim and Toshiyuki Sugawa},
journal= {arXiv preprint arXiv:0911.2663},
year = {2009}
}
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9 pages