Outputs (3)

A Converging Lagrangian Flow in the Space of Oriented Line (2016)
Journal Article
Guilfoyle, B., & Klingenberg, W. (2016). A Converging Lagrangian Flow in the Space of Oriented Line. Kyushu journal of mathematics, 70(2), 343-351. https://doi.org/10.2206/kyushujm.70.343

Under mean radius of curvature flow, a closed convex surface in Euclidean space is known to expand exponentially to infinity. In the three-dimensional case we prove that the oriented normals to the flowing surface converge to the oriented normals of... Read More about A Converging Lagrangian Flow in the Space of Oriented Line.

Erratum to: On the geometry of the space of oriented geodesicd (2016)
Journal Article
Alekseevsky, D., Guilfoyle, B., & Klingenberg, W. (2016). Erratum to: On the geometry of the space of oriented geodesicd. Annals of Global Analysis and Geometry, https://doi.org/10.1007/s10455-016-9515-3

Totally null surfaces in neutral Kähler 4-manifolds (2016)
Journal Article
Georgiou, N., Guilfoyle, B., & Klingenberg, W. (2016). Totally null surfaces in neutral Kähler 4-manifolds. Balkan Journal of Geometry and its Applications, 21(1), 27-41

We study the totally null surfaces of the neutral Kähler metric on certain 4-manifolds. The tangent spaces of totally null surfaces are either self-dual (α-planes) or anti-self-dual (β-planes) and so we consider α-surfaces and β-surfaces. The metric... Read More about Totally null surfaces in neutral Kähler 4-manifolds.