The doubly periodic Scherk-Costa surfaces

2008/06/26 by Valerio Ramos-Batista, Ramos-Batista, Valerio, Kelly Roberta Mazzutti Lübeck +2
Mathematics · #53A10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53A10

paper · pdf · doi:10.48550/arxiv.0806.4313

arxiv created 2008/06/26 · openalex publication_date 2008/06/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new family of embedded doubly periodic minimal surfaces, of which the symmetry group does not coincide with any other example known before.

Related

• Handle Addition for doubly-periodic Scherk Surfaces
• The embedded singly periodic Scherk-Costa surfaces
• Gluing doubly periodic Scherk surfaces into minimal surfaces
• Higher genus doubly periodic minimal surfaces
• An end-to-end construction of doubly periodic minimal surfaces