4 papers · 1 filter
Singular points for cone actions on the product of certain homogeneous spaces
Lifan Guan, Chengyang Wu
In this paper, we investigate divergent orbits for cone actions on products of certain homogeneous spaces. We introduce a notion of essential singularity for such actions, and esti…
Simultaneously bounded and dense orbits for commuting Cartan actions
Dmitry Kleinbock, Chengyang Wu
In this paper we prove that the set of points that have bounded orbits under one regular diagonal flow and dense orbits under the other diagonal flow commuting with the first one h…
The symmetries of affine -systems and a program for centralizer rigidity
Danijela DamjanoviÄ, Amie Wilkinson, Chengyang Wu +1
Let Aff(X) be the group of affine diffeomorphisms of a closed homogeneous manifold X=G/B admitting a G-invariant Lebesgue-Haar probability measure . For Aff(X), let $Z…
Bounded Geodesics on Locally Symmetric Spaces
Lifan Guan, Chengyang Wu
Let be a torsion-free subgroup of commensurable with , and be endowed with the natural locally symmetric space structure. W…