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math.DG2013★ 4 cited
A Converging Lagrangian Curvature Flow in the Space of Oriented Lines
Brendan Guilfoyle, Wilhelm Klingenberg
Under mean radius of curvature flow, a closed convex surface in Euclidean space is known to expand exponentially to infinity. In the 3-dimensional case we prove that the oriented n…
math.DG2013★ 4 cited
Marginally trapped surfaces in spaces of oriented geodesics
Brendan Guilfoyle, Nikos Georgiou
We investigate the geometric properties of marginally trapped surfaces (surfaces which have null mean curvature vector) in the spaces of oriented geodesics of Euclidean 3-space and…