Chen–Gackstatter surface
id:
chen-gackstatter-surface-314-15753439
title:
Chen–Gackstatter surface
text:
In differential geometry, the Chen–Gackstatter surface family is a family of minimal surfaces that generalize the Enneper surface by adding handles, giving it nonzero topological genus. They are not embedded, and have Enneper-like ends. The members M i j of the family are indexed by the number of extra handles i and the winding number of the Enneper end; the total genus is ij and the total Gaussian curvature is − 4 π j . It has been shown that M 11 is the only genus one orientable complete minim
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Chen%E2%80%93Gackstatter_surface
date created:
date modified:
2022-10-23T02:09:06Z
main entity:
{"identifier":"Q5091567","url":"https://www.wikidata.org/entity/Q5091567"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/cc/Chen-Gackstatter-Thayer_surfaces.png","width":850,"height":800}
fields total:
13
integrity:
14