15 citations · 52 across the 47 of their papers we have counts for
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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…
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…
Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky
Daniela Kraus, Oliver Roth, Toshiyuki Sugawa
An explicit formula for the generalized hyperbolic metric on the thrice--punctured sphere with singularities of order at is obtain…
Dual mean value problem for complex polynomials
Vladimir Dubinin, Toshiyuki Sugawa
We consider an extremal problem for polynomials, which is dual to the well-known Smale mean value problem. We give a rough estimate depending only on the degree.
Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral
G. D. Anderson, T. Sugawa, M. K. Vamanamurthy +1
We describe, in terms of generalized elliptic integrals, the hyperbolic metric of the twice-punctured sphere with one conical singularity of prescribed order. We also give several…