On cross-ratio distortion and Schwarz derivative
Alexey Teplinsky
TL;DR
This paper establishes asymptotic estimates for how cross-ratio distortion behaves under smooth or holomorphic functions, using the Schwarz derivative as a key analytical tool.
Contribution
It introduces new asymptotic estimates linking cross-ratio distortion to the Schwarz derivative for smooth and holomorphic functions.
Findings
Derived asymptotic bounds for cross-ratio distortion
Connected distortion estimates to Schwarz derivative properties
Enhanced understanding of geometric function behavior
Abstract
We prove asymptotic estimates for the cross-ratio distortion with respect to a smooth or holomorphic function in terms of its Schwarz derivative.
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