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Lorentzian worldlines and Schwarzian derivative

open access: yes, 1998
We relate in this note the classical Schwarzian derivative to the curvature of time-like curves in Lorentz surfaces of constant curvature.
Duval, C., Ovsienko, V.
openaire   +2 more sources

A Discrete Schwarzian Derivative via Circle Packing

open access: yesGeometry
There exists an extensive and fairly comprehensive discrete analytic function theory which is based on circle packing. This paper introduces a faithful discrete analogue of the classical Schwarzian derivative to this theory and develops its basic properties.
openaire   +2 more sources

Norm Estimation for Pre-Schwarzian and Schwarzian Derivatives of Some Univalent Functions

open access: yesUkrainian Mathematical Journal
UDC 517.5 Our purpose is to obtain estimates for the norms of  Schwarzian  and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order $\alpha$ and type $\beta.$ In addition, we present an example of a function $f \in S^*(\alpha, \beta)$ that  cannot be $k$-quasiconformally extended for any $k < \alpha(1 ...
Xiaobin Wu, Wanghao Zhu
openaire   +1 more source

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