caa a22 4500 445836180 CHVBK 20180317145331.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00209-009-0645-1 doi (NATIONALLICENCE)springer-10.1007/s00209-009-0645-1 Fan Jinhua Department of Applied Mathematics, Nanjing University of Science and Technology, 210094, Nanjing, People's Republic of China aut On geodesics in asymptotic Teichmüller spaces [Elektronische Daten] [Jinhua Fan] Let R be a Riemann surface of infinite analytic type, T(R) and AT(R) be the Teichmüller space and asymptotic Teichmüller space on R respectively. The purpose of this paper is to discuss some problems related to geodesics in AT(R). It is proved that uniqueness of geodesics joining two given points [μ] and [ν] in T (R) dose not imply uniqueness of geodesics joining[[μ]] and [[ν]] in AT(R). Furthermore, a Beltrami differentialμ is constructed such that there are infinitely many geodesics joining [[0]] and[[μ]] in AT(R), and a sufficient condition to determine the difference of the geodesics [[tμ 1]] and [[tμ 2]] (0≤ t≤ 1) joining [[0]] and[[μ]] in AT(Δ) is given. Springer-Verlag, 2009 Geodesic nationallicence Teichmüller space nationallicence Asymptotic Teichmüller space nationallicence Mathematische Zeitschrift Springer-Verlag 267/3-4(2011-04-01), 767-779 0025-5874 267:3-4<767 2011 267 209 https://doi.org/10.1007/s00209-009-0645-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-009-0645-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fan Jinhua Department of Applied Mathematics, Nanjing University of Science and Technology, 210094, Nanjing, People's Republic of China aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 267/3-4(2011-04-01), 767-779 0025-5874 267:3-4<767 2011 267 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer