9 citations · 9 across the 5 of their papers we have counts for
6 papers · 1 filter
Isotropic submanifolds of and their focal sets
Nikos Georgiou, Brendan Guilfoyle, Morgan Robson
Families of oriented lines in are studied via their identification with submanifolds of . In particular, families of oriented lines which are orth…
Minimal surfaces in the Riemannian product of surfaces
Nikos Georgiou, Brendan Guilfoyle
Minimal surfaces in the Riemannian product of surfaces of constant curvature have been considered recently, particularly as these products arise as spaces of oriented geodesics of…
Null hypersurfaces in 4-manifolds endowed with a product structure
Nikos Georgiou
In a 4-manifold, the composition of a Riemannian Einstein metric with an almost paracomplex structure that is isometric and parallel, defines a neutral metric that is conformally f…
A para-Kaehler structure in the space of oriented geodesics in a real space form
Nikos Georgiou
In this article, we construct a new para-Kähler structure in the space of oriented geodesics in a non-flat, real space form . We…
Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric
Martha P. Dussan, Nikos Georgiou, Martin Magid
We investigate minimal surfaces in products of two-spheres , with the neutral metric given by . Here ${\mathbb S}^2_p\subset {\mathbb…
The Blaschke-Lebesgue problem for constant width bodies of revolution
Henri Anciaux, Nikos Georgiou
We prove that among all constant width bodies of revolution, the minimum of the ratio of the volume to the cubed width is attained by the constant width body obtained by rotation o…