Stable periodic projective planes
Abstract: We find all stable projective planes with finite topology which are properly embedded in , where is a discrete subgroup of translations in . Here stable means second order minimum of the area. The surfaces we obtain are a quotient of the helicoid and quotients of the doubly periodic Scherk surfaces.
Affiliation: Departamento de Geometría y Topología, Universidad de Granada, E–18071, Granada, Spain
Keywords: Minimal surfaces, stable surfaces
Received by editor(s): June 12, 1995
Additional Notes: Research partially supported by DGICYT grant PB94–0796
Communicated by: Peter Li
Article copyright: © Copyright 1996 American Mathematical Society