Orbit closures of Zariski dense subgroups in homogeneous spaces
Lee, Minju ; Oh, Hee
arXiv, Tome 2019 (2019) no. 0, / Harvested from
We present a new proof of Benoist-Quint's finite or dense dichotomy for orbits of Zariski dense subgroups acting on the quotient space of SO(d,1) by a cocompact lattice. We use ideas from the study of dynamics of unipotent flows on homogeneous spaces of infinite volume. We also use the equidistribution of expanding analytic curves on the compact quotient of SO(d,1) which was obtained by Shah and Yang based on Ratner's measure classification theorem and linearization methods.
Publié le : 2019-03-06
Classification:  Mathematics - Dynamical Systems,  Mathematics - Geometric Topology 
@article{1903.02696,
     author = {Lee, Minju and Oh, Hee},
     title = {Orbit closures of Zariski dense subgroups in homogeneous spaces},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1903.02696}
}

Lee, Minju; Oh, Hee. Orbit closures of Zariski dense subgroups in homogeneous spaces. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1903.02696/