15 citations · 34 across the 6 of their papers we have counts for
6 papers
Cartan Angular Invariant and Deformations in Rank One Symmetric Spaces
Boris Apanasov, Inkang Kim
We develop and study quaternionic and octonionic analogies of Cartan angular and Toledo invariants that are well known in the complex hyperbolic space. Using such invariants we stu…
Two-Dimensional Knots and Representations of Hyperbolic Groups
Boris Apanasov
We describe relations between hyperbolic geometry and codimension two knots or, more exactly, between varieties of conjugacy classes of discrete faithful representations of the fun…
Deformations and stability in complex hyperbolic geometry
Boris Apanasov
This paper concerns with deformations of noncompact complex hyperbolic manifolds (with locally Bergman metric), varieties of discrete representations of their fundamental groups in…
Geometry and topology of complex hyperbolic and CR-manifolds
Boris Apanasov
We study geometry, topology and deformation spaces of noncompact complex hyperbolic manifolds (geometrically finite, with variable negative curvature), whose properties make them s…
Bending deformations of complex hyperbolic surfaces
Boris Apanasov
We study deformations of complex hyperbolic surfaces which furnish the simplest examples of: (i) negatively curved Kähler manifolds and (ii) negatively curved Riemannian manifolds…
Quasiconformality and geometrical finiteness in Carnot--Carathéodory and negatively curved spaces
Boris Apanasov
The paper sketches a recent progress and formulates several open problems in studying equivariant quasiconformal and quasisymmetric homeomorphisms in negatively curved spaces as we…