About the topology of compact embedded minimal surfaces in S2 x S1(r)
 
Francisco Torralbo (KU, Leuven)



We prove that closed surfaces of all topological types, except for the non-orientable odd-genus ones, can be minimally embedded in S2 x S1(r), for arbitrary radius r. We illustrate it by obtaining some periodic minimal surfaces in S2 x R via conjugate constructions. The resulting surfaces can be seen as the analogy to the Schwarz P-surface in these homogeneous 3-manifolds.



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