The doubly periodic Scherk-Costa surfaces

TL;DR

This paper introduces a new family of embedded doubly periodic minimal surfaces with unique symmetry groups, expanding the known classifications in minimal surface theory.

Contribution

It presents a novel family of doubly periodic minimal surfaces with symmetry groups not previously documented.

Findings

New family of embedded doubly periodic minimal surfaces

Unique symmetry groups distinct from known examples

Advances understanding of minimal surface classifications

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.