TY  - JOUR
AB  - In this paper, we prove a quantitative version of the Tits alternative for negatively pinched manifolds X. Precisely, we prove that a nonelementary discrete isometry subgroup of Isom(X) generated by two non-elliptic isometries g, f contains a free subgroup of rank 2 generated by isometries fN, h of uniformly bounded word length. Furthermore, we show that this free subgroup is convex-cocompact when f is hyperbolic.
AU  - Dey, Subhadip
AU  - Kapovich, Michael
AU  - Liu, Beibei
DA  - 2019
DO  - 10.17879/53149722954
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 453
PY  - 2019
SP  - 453-471
T2  - Münster Journal of Mathematics
TI  - Ping-pong in Hadamard manifolds
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-53149723192
Y2  - 2024-11-21T23:32:43
ER  -