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math.CV2011
On a multi-point Schwarz-Pick lemma
Kyung Hyun Cho, Seong-A Kim, Toshiyuki Sugawa
We consider the multi-point Schwarz-Pick lemma and its associate functions due to Beardon-Minda and Baribeau-Rivard-Wegert. Basic properties of the associate functions are summariz…
math.CV2009
Geometric invariants associated with projective structures and univalence criteria
Seong-A Kim, Toshiyuki Sugawa
For a nonconstant holomorphic map between projective Riemann surfaces with conformal metrics, we consider invariant Schwarzian derivatives and projective Schwarzian derivatives of…
math.CV2009★ 1 cited
Invariant Schwarzian derivatives of higher order
Seong-A Kim, Toshiyuki Sugawa
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 de…