A strengthened Schwarz-pick inequality for derivatives of the hyperbolic metric

Wenfa Yuan, Dongli Chen, Pingan Wang
2006 Tamkang Journal of Mathematics  
This paper is to investigate the Schwarz-Pick inequality for the hyperbolic derivative. Our result is not only a contraction but also a contraction minus a positive constant and this improves Beardon's theorem greatly.
doi:10.5556/j.tkjm.37.2006.157 fatcat:tdnhqq5kjfey7hkjwnxxyxfcki