3 citations · 4 across the 5 of their papers we have counts for
5 papers
Isospectral finiteness on convex cocompact hyperbolic 3-manifolds
Gilles Courtois, Inkang Kim
In this paper we show that a given set of lengths of closed geodesics, there are only finitely many convex cocompact hyperbolic 3-manifolds with that specified length spectrum, hom…
Topological Entropy and bulging deformation of real projective structures on surface
Patrick Foulon, Inkang Kim
In this paper we study the deformation of strictly convex real projective structures on a closed surface. Specially we study the deformation in terms of the entropy on bulging defo…
Convex real projective structures and Hilbert metrics
Inkang Kim, Athanase Papadopoulos
We review some basic concepts related to convex real projective structures from the differential geometry point of view. We start by recalling a Riemannian metric which originates…
Volume invariant and maximal representations of discrete subgroups of Lie groups
Sungwoon Kim, Inkang Kim
Let be a lattice in a connected semisimple Lie group with trivial center and no compact factors. We introduce a volume invariant for representations of into , which…
Deformation space of a non-uniform 3-dimensional real hyperbolic lattice in quaternionic hyperbolic plane
Inkang Kim
In this note, we study deformations of a non-uniform real hyperbolic lattice in quaternionic hyperbolic spaces. Specially we show that the representations of the fundamental group…