6 research outputs found
On discreteness of subgroups of quaternionic hyperbolic isometries
Let denote the -dimensional quaternionic
hyperbolic space. The linear group acts by the isometries of
. A subgroup of is called
\emph{Zariski dense} if it does not fix a point on and neither it preserves a totally
geodesic subspace of . We prove that a Zariski dense
subgroup of is discrete if for every loxodromic element
the two generator subgroup is
discrete, where the generator is certain fixed element
not necessarily from .Comment: Reformatted, adding new result, and removing some. Removed parts will
be subsumed elsewher
Green’s Function for a Slice of the Korányi Ball in the Heisenberg Group H
We give a representation formula for solution of the inhomogeneous Dirichlet problem on the upper half Korányi ball and for the slice of the Korányi ball in the Heisenberg group Hn by obtaining explicit expressions of Green-like kernel when the given data has certain radial symmetry