Invariant Schwarzian Derivatives of Higher Order

Seong A. Kim, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)659-670
Number of pages12
JournalComplex Analysis and Operator Theory
Issue number3
Publication statusPublished - 2011 Sept


  • Aharonov invariants
  • Conformal metric


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