Aranson, S. Kh.; Zhuzhoma, E. V. On the asymptotic directions of semitrajectories of analytic flows on surfaces. (English. Russian original) Zbl 1047.37026 Russ. Math. Surv. 57, No. 6, 1207-1209 (2002); translation from Usp. Mat. Nauk 57, No. 6, 169-170 (2002). Introduction: The investigation of the nonlocal asymptotic behaviour of semitrajectories of flows on surfaces of nonpositive Euler characteristic is one of the main problems in the Anosov-Weil theory that has emerged fairly recently. Here we describe the nonlocal asymptotic directions of liftings to the universal covering of semitrajectories of analytic flows on a closed hyperbolic orientable surface. Reviewer: Ding Tongren (Beijing) MSC: 37E35 Flows on surfaces 53C22 Geodesics in global differential geometry Keywords:geodesic lamination; nonlocal asymptotic behaviour; flows on surfaces; universal covering of semitrajectories PDF BibTeX XML Cite \textit{S. Kh. Aranson} and \textit{E. V. Zhuzhoma}, Russ. Math. Surv. 57, No. 6, 1207--1209 (2002; Zbl 1047.37026); translation from Usp. Mat. Nauk 57, No. 6, 169--170 (2002) Full Text: DOI