65 citations · 177 across the 29 of their papers we have counts for
6 papers · 1 filter
The Geometry of Focal Sets
Brendan Guilfoyle, Wilhelm Klingenberg
The space of oriented lines, or rays, in is a 4-dimensional space with an abundance of natural geometric structure. In particular, it boasts a neutral Käh…
An Indefinite Kaehler Metric on the Space of Oriented Lines
Brendan Guilfoyle, Wilhelm Klingenberg
The total space of the tangent bundle of a Kähler manifold admits a canonical Kähler structure. Parallel translation identifies the space of oriented affine lines in ${…
The Casimir Effect Between Non-Parallel Plates by Geometric Optics
Brendan Guilfoyle, Wilhelm Klingenberg, Siddhartha Sen
Recent work by Jaffe and Scardicchio has expressed the optical approximation to the Casimir effect as a sum over geometric quantities. The first two authors have developed a techni…
Reflection of a wave off a surface
Brendan Guilfoyle, Wilhelm Klingenberg
Recent advances in twistor theory are applied to geometric optics in . The general formulae for reflection of a wavefront in a surface are derived and in three special…
Generalised Surfaces in
Brendan Guilfoyle, Wilhelm Klingenberg
The correspondence between 2-parameter families of oriented lines in and surfaces in is studied, and the geometric properties of the lines are related…
On the Space of Oriented Affine Lines in
Brendan Guilfoyle, Wilhelm Klingenberg
We introduce a local coordinate description for the correspondence between the space of oriented affine lines in Euclidean and the tangent bundle to the 2-sphere. The…