8 citations · 36 across the 22 of their papers we have counts for
21 papers · 1 filter
Local -semi-rigidity of meandering-hyperbolic actions
Sungwoon Kim
Meandering hyperbolicity, introduced by Kapovich, Kim, and Lee, extends classical hyperbolicity beyond the setting of word-hyperbolic groups. In this paper, we prove that every mea…
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…
Weakly positive and directed Anosov representations
Sungwoon Kim, Ser Peow Tan, Tengren Zhang
Given a finitely generated group , a directed graph , and a map , we introduce the notion of an -directed Anosov representation. This is a weakening of the no…
Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields
Sungwoon Kim, Joonhyung Kim
Let be a nonelementary discrete subgroup of . We show that if the trace skew-field of is commutative, then stabilizes a copy of complex hyperbolic sub…
Limit sets for convex cocompact groups in higher rank symmetric spaces
Sungwoon Kim
We show that every limit point of a Zariski dense discrete subgroup of the isometry group of a symmetric space of noncompact type is conical if and only if is convex cocomp…
A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields
Sungwoon Kim, Joonhyung Kim
Let be a non-elementary discrete subgroup of . We show that if the sum of diagonal entries of each element of is a complex number, then is conjugate t…