1 citations · 1 across the 5 of their papers we have counts for
5 papers
Equivalent metrics and compactifications
Young Deuk Kim
Let (X,d) be a metric space and m\in X. Suppose that ϕ:X\times X\to\mathbold{R} is a nonnegative symmetric function. We define a metric d^{ϕ,m} on X which is equivalent to d. If d^…
Locally Euclidean metrics on R^3
Young Deuk Kim
For all 0<t \leq 1, we define a locally Euclidean metric ρ_t on R^3. These metrics are invariant under Euclidean isometries and, if t increases to 1, converges to the Euclidean met…
The Thurston boundary of Teichmuller space and complex of curves
Young Deuk Kim
Let be a closed orientable surface with genus . For a sequence $\s_i$ in the Teichmüller space of , which converges to a projective measured lamination $[\lam]$ in…
A theorem on discrete, torsion free subgroups of Isom
Young Deuk Kim
Let be the hyperbolic n-space with . Suppose that is a discrete, torsion free subgroup and is a point in the domain of discontinuity . Let …
A family of pseudo metrics on B^3 and its application
Young Deuk Kim
Let B^3 be the closed unit ball in R^3 and S^2 its boundary. We define a family of pseudo metrics on B^3. As an application, We prove that for any countable-to-one function f:S^2\t…