RT Journal Article
T1 Limit points of lines of minima in Thurston's boundary of Teichmüller space
A1 Díaz Sánchez, Raquel
A1 Series, Caroline
AB Given two measured laminations µ and ν in a hyperbolic sur-face which fill up the surface, Kerckhoff defines an associated line of minima along which convex combinations of the length functions of µ andν are minimised. This is a line in Teichmüller space which can be thought as analogous to the geodesic in hyperbolic space determined by two points at infinity. We show that when µ is uniquely ergodic, this line converges to the projective lamination [µ], but that when µ is rational, the line converges not to [µ], but rather to the barycentre of the support of µ. Similar results on the behaviour of Teichmüller geodesics have been proved by Masur
PB Mathematical Sciences Publishers
SN 1472-2747
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/57389
UL https://hdl.handle.net/20.500.14352/57389
LA eng
DS Docta Complutense
RD 16 abr 2025