The horofunction compactification of Teichmüller spaces of surfaces with boundary
Tài liệu tham khảo
Ballmann, 2012
Birman, 1985, Geodesics with bounded intersection number on surfaces are sparsely distributed, Topology, 24, 217, 10.1016/0040-9383(85)90056-4
Buser, 2010, Geometry and Spectra of Compact Riemann Surfaces, 10.1007/978-0-8176-4992-0
Danciger
Fathi, 1979, Travaux de Thurston sur les surfaces, Astérisque, 66–67
Guéritaud
Lenzhen, 2010, Criteria for the divergence of pairs of Teichmüller geodesics, Geom. Dedic., 144, 191, 10.1007/s10711-009-9397-7
Liu, 2010, On length spectrum metrics and weak metrics on Teichmüller spaces of surfaces with boundary, Ann. Acad. Sci. Fenn., Math., 35, 255, 10.5186/aasfm.2010.3515
Gromov, 1981, Hyperbolic manifolds, groups and actions, Ann. Math. Stud., 183
Papadopoulos, 1991, On Thurston's boundary of Teichmüller space and the extension of earthquakes, Topol. Appl., 41, 147, 10.1016/0166-8641(91)90001-3
Papadopoulos, 2010, Shortening all the simple closed geodesics on surfaces with boundary, Proc. Am. Math. Soc., 138, 1775, 10.1090/S0002-9939-09-10195-8
Papadopoulos, 2012, Some Lipschitz maps between hyperbolic surfaces with applications to Teichmüller theory, Geom. Dedic., 161, 63, 10.1007/s10711-012-9694-4
Su, 2016, A list of problems on Thurston's metric, 55
Teichmüller, 1940, Extremale quasikonforme Abbildungen und quadratische Differentiale, Abh. Preuss. Akad. Wiss., Math.-Naturw. Kl., 1940, 1
Théret, 2005
D. Thurston, On geometric intersection of curves in surfaces, draft on http://pages.iu.edu/~dpthurst/DehnCoordinates.pdf.
W.P. Thurston, The geometry and topology of three-manifolds, mimeographed notes, Princeton University, 1976.
Thurston
Thurston, 1988, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Am. Math. Soc. (N.S.), 19, 417, 10.1090/S0273-0979-1988-15685-6
Walsh, 2014, The horoboundary and isometry groups of Thurston's Lipschitz metric, 327