1 citations · 2 across the 6 of their papers we have counts for
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A note on the integrality of volumes of representations
Sungwoon Kim
Let be a torsion-free, non-uniform lattice in . We present an elementary, combinatorial-geometrical proof of a theorem of Bucher, Burger, and Iozzi which sta…
On boundary maps of Anosov representations of a surface group to SL(3,R)
Sungwoon Kim, Thilo Kuessner
We prove that Anosov representations from a surface group to SL(3,R) are uniquely determined by their boundary maps if and only if they do not factor over a completely reducible re…
Complex and Quaternionic hyperbolic Kleinian groups with real trace fields
Joonhyung Kim, Sungwoon Kim
Let be a nonelementary discrete subgroup of SU(n,1) or Sp(n,1). We show that if the trace field of is contained in , preserves a totally geodesic submanifold…
On the equivalence of the definitions of volume of representations
Sungwoon Kim
Let G be a rank 1 simple Lie group and M be a connected orientable aspherical tame manifold. Assume that each end of M has amenable fundamental group. There are several definitions…
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…
Minimal volume of complete uniform visibility manifolds with finite volume
Sungwoon Kim
We show that complete uniform visibility manifolds of finite volume with sectional curvature have positive simplicial volumes. This implies that their minimal vo…