A notion of geometric finiteness in SL(d,R), 2/2 (Feng Zhu)
Автор: Feng Zhu
Загружено: 2021-06-04
Просмотров: 36
Описание:
Discrete subgroups of semisimple Lie groups such as SL(d,R) are objects rich in geometry and dynamics. Convex cocompact subgroups of rank-one Lie groups such as SL(2,R) are an especially nice class of discrete hyperbolic subgroups with good geometric and dynamical properties. Geometrically finite subgroups of rank-one Lie groups are a slightly larger class of discrete subgroups which allow for certain controlled failures of hyperbolicity while keeping relatively good geometric and dynamical properties.
In this second part, I will introduce analogous class of (relatively) hyperbolic discrete subgroups of higher-rank Lie groups, such as SL(d,R) with d at least 3: Anosov subgroups, first defined by Labourie and Guichard--Wienhard, and relatively Anosov subgroups.
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