11 nov 2014 -- 14:30
Aula 211, Dip. Matematica e Fisica, Università degli Studi "Roma Tre", Roma
Abstract.
We prove that closed surfaces of all topological types, except for the non-orientable odd-genus ones, can be minimally embedded in $S^2 \times S^1(r)$,for arbitrary radius $r$. We illustrate it by obtaining some periodic minimal surfaces in $S^2 \times \mathbb{R}$ via conjugate constructions. The resulting surfaces can be seen as the analogy to the Schwarz P-surface in these homogeneous 3-manifolds.