科研之友
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摘要
We find approximate solutions (chord-arc curves) for the system of equations of geodesics in Omega boolean AND (H) over bar for every Denjoy domain Omega, with respect to both the Poincare and the quasi-hyperbolic metrics. We also prove that these chord-arc curves are uniformly close to the geodesics. As an application of these results, we obtain good estimates for the lengths of simple closed geodesics in any Denjoy domain, and we improve the characterization in a 1999 work by Alvarez et al. on Denjoy domains satisfying the linear isoperimetric inequality.
- 出版日期2012-2
