62 citations · 147 across the 47 of their papers we have counts for
33 papers · 1 filter
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…
New Kähler metric on quasifuchsian space and its curvature properties
Inkang Kim, Xueyuan Wan, Genkai Zhang
Let be the quasifuchsian space of a closed surface of genus . We construct a new mapping class group invariant Kähler metric on . It is an extension of…
Degeneration of strictly convex real projective structures on surface
Inkang Kim
In this paper we study the degeneration of convex real projective structures on bordered surfaces.