62 citations · 147 across the 47 of their papers we have counts for
52 papers
Thermodynamic Formalism on SRB Measures of Compact Convex Projective manifolds, Geometry and Counting
Patrick Foulon, Inkang Kim
We study the Hilbert geodesic flow on a closed convex real projective -dimensional manifold. We use the thermodynamic formalism for this dissipative Anosov flow to obtain a geom…
Curvature of the total space of a Griffiths negative vector bundle and quasi-Fuchsian space
Inkang Kim, Xueyuan Wan, Genkai Zhang
For a holomorphic vector bundle over a Hermitian manifold there are two important notions of curvature positivity, the Griffiths positivity and Nakano positivity. We study…
Sinai-Ruelle-Bowen measure Entropy of geodesic flow on Convex Projective Surfaces
Patrick Foulon, Inkang Kim
We study the entropy of Sinai-Ruelle-Bowen measure of the geodesic flow on convex real projective surfaces, and shows that the Hilbert area tends to infinity if the entropy tends t…
Signature for flat unitary bundles over surfaces with boundary
Inkang Kim, Pierre Pansu, Xueyuan Wan
This paper deals with the representations of the fundamental groups of compact surfaces with boundary into classical simple Lie groups of Hermitian type. We relate work on the sign…
On the degree of a finite cover which fibers over circle
Inkang Kim, Hongbin Sun
We give a lower bound for the degree of a finite cover of a hyperbolic 3-manifold which fibers over the circle, in terms of volume, the diameter of the manifold and other new invar…
Signature, Toledo invariant and surface group representations in the real symplectic group
Inkang Kim, Pierre Pansu, Xueyuan Wan
In this paper, by using Atiyah-Patodi-Singer index theorem, we obtain a formula for the signature of a flat symplectic vector bundle over a surface with boundary, which is related…