2 citations · 3 across the 5 of their papers we have counts for
6 papers · 1 filter
Continuant, Chebyshev polynomials, and Riley polynomials
Kyeonghee Jo, Hyuk Kim
In the previous paper, we showed that the Riley polynomial of each 2-bridge knot is split into , for some integral coeffic…
Symplectic quandles and parabolic representations of 2-bridge Knots and Links
Kyeonghee Jo, Hyuk Kim
In this paper we study the parabolic representations of 2-bridge links by finiding arc coloring vectors on the Conway diagram. The method we use is to convert the system of conjuga…
On the Markus conjecture in convex case
Kyeonghee Jo, Inkang Kim
In this paper, we show that any convex affine domain with a nonempty limit sets on the boundary under the action of the identity component of the automorphism group cannot cover a…
SO(n)\SO_0(n,1) has Positive Curvatures
Taechang Byun, Kyeonghee Jo, Kyung Bai Lee
The Lie group SO_0(n, 1) has the left-invariant metric coming from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left. The geometr…
Quasi-homogeneous domains and convex affine manifolds
Kyeonghee Jo
In this article, we study convex affine domains which can cover a compact affine manifold. For this purpose, we first show that every strictly convex quasi-homogeneous projective d…
Invariant Measure and the Euler Characteristic of Projectively Flat Manifolds
Kyeonghee Jo, Hyuk Kim
In this paper, we show that the Euler characteristic of an even dimensional closed projectively flat manifold is equal to the total measure which is induced from a probability Bore…