11 citations · 33 across the 11 of their papers we have counts for
11 papers
Symplectic Homology and 3-dimensional Besse Manifolds with vanishing first Chern class
Do-Hyung Kim
In this paper, we will show that certain types of symplectic homology can be used as an invariant of 3-dimensional Besse manifolds, which are strict contact manifolds with periodic…
On continuous causal isomorphisms
Do-Hyung Kim
It is shown that continuous causal isomorphisms on two-dimensional Minkowski spacetime can be characterized by the invariance of wave equations.
Causal and conformal structures of globally hyperbolic spacetimes
Do-Hyung Kim
The group of conformal diffeomorphisms and the group of causal automorphisms on two-dimensional globally hyperbolic spacetimes are clarified. It is shown that if spacetimes have no…
An imbedding of spacetimes
Do-Hyung Kim
It is shown that any two-dimensional spacetimes with compact Cauchy surfaces can be causally isomorphically imbedded into the two-dimensional Einstein's static universe. Also, it i…
A simple proof of Zeeman's theorem
Do-Hyung Kim
It is discussed that Zeeman's theorem can be directly obtained from Liouville's theorem if we assume sufficient differentiability.
A note on conformal equivalences
Do-Hyung Kim
A new characterization of conformal transformations is given. By use of this, the general form of conformal transformation on two-dimensional Minkowski space is given and its confo…