Invariant Schwarzian derivatives of higher order

Details Invariant Schwarzian derivatives of higher order Invariant Schwarzian derivatives of higher order

2009-11-13

arxiv.org/abs/0911.2663v1

Mathematics

Complex Variables

9 pages

Scientific paper

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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