3 citations · 8 across the 9 of their papers we have counts for
11 papers
Left invariant Lorentzian metrics and curvatures on non-unimodular Lie groups of dimension three
Ku Yong Ha, Jong Bum Lee
For each connected and simply connected three-dimensional non-unimodular Lie group, we classify the left invariant Lorentzian metrics up to automorphism, and study the extent to wh…
An averaging formula for the coincidence Reidemeister trace
Jong Bum Lee, P. Christopher Staecker
In the setting of continuous maps between compact orientable manifolds of the same dimension, there is a well known averaging formula for the coincidence Lefschetz number in terms…
Growth rate of endomorphisms of Houghton's groups
Jong Bum Lee, Sang Rae Lee
A Houghton's group consists of translations at infinity of a rays of discrete points on the plane. In this paper we study the growth rate of endomorphisms of Ho…
The property for Houghton's groups
Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee
We study twisted conjugacy classes of a family of groups which are called Houghton's groups (), the group of translations of rays of discrete p…
Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups
Alexander Fel'shtyn, Jong Bum Lee
We develop the Reidemeister theory of iterations of a group endomorphism and study the asymptotic behavior of the sequence of the Reidemeister numbers of iterations $\{R(φ^k)\}…
Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups
Alexander Fel'shtyn, Jang Hyun Jo, Jong Bum Lee
We prove that the growth rate of an endomorphism of a finitely generated nilpotent group equals to the growth rate of induced endomorphism on its abelinization, generalizing the co…
The property for crystallographic group of Sol
Ku Yong Ha, Jong Bum Lee
There are 9 kinds of crystallographic groups of Sol. For any automorphism on , we study the Reidemeister number . Using the averaging formula for the Reidemeister…
Density of the homotopy minimal periods of maps on infra-solvmanifolds
Jong Bum Lee, Xuezhi Zhao
We study the homotopical minimal periods for maps on infra-solvmanifolds of type (R) using the density of the homotopical minimal period set in the natural numbers. This extends th…
The Nielsen numbers of iterations of maps on infra-solvmanifolds of type and periodic points
Alexander Fel'shtyn, Jong Bum Lee
We study the asymptotic behavior of the sequence of the Nielsen numbers , the essential periodic orbits of and the homotopy minimal periods of by using the Niel…
The Nielsen and the Reidemeister numbers of maps on infra-solvmanifolds of type (R)
Alexander Fel'shtyn, Jong Bum Lee
We prove the rationality, the functional equations and calculate the radii of convergence of the Nielsen and the Reidemeister zeta functions of continuous maps on infra-solvmanifol…
Topology of iterated -bundles
Jong Bum Lee, Mikiya Masuda
In this paper we investigate what kind of manifolds arise as the total spaces of iterated -bundles. A real Bott tower studied in \cite{CMO}, \cite{KM} and \cite{KN} is an exam…