3 citations · 5 across the 7 of their papers we have counts for
7 papers
On Metrics Inducing the Fürstenberg Topology on the Integers
Alexander Dirmeier
We investigate various classes of metrics on the integers, which induce the Fürstenberg topology and establish the connection between the metrics and the topology. We analyze the n…
Constant Mean Curvature Foliations of -Dimensional Twisted Product Spacetimes
Alexander Dirmeier
For spacetime dimensions, we derive sufficient conditions for the twisting function in a twisted product spacetime, such that there is a global foliation by spacelike CMC sur…
Boundedness of Functions on Product Spaces by Sums of Functions on the Factors
Stefan Born, Alexander Dirmeier
We investigate sufficient conditions for real-valued functions on product spaces to be bounded from above by sums or products of functions which depend only on points in the respec…
Growth conditions for conformal transformations preserving Riemannian completeness
A. Dirmeier
For a complete Riemannian metric, a pointwise conformal transformation may lead to a complete or incomplete transformed Riemannian metric, depending on the behavior of the conforma…
Geometric Analysis of Particular Compactly Constructed Time Machine Spacetimes
Jürgen Dietz, Alexander Dirmeier, Mike Scherfner
We formulate the concept of time machine structure for spacetimes exhibiting a compactely constructed region with closed timelike curves. After reviewing essential properties of th…
Causal Classification of Conformally Flat Lorentzian Cylinders
Alexander Dirmeier
We derive all possible causality conditions for conformally flat Lorentzian metrics on the two-dimensional cylinder.