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- Riemanns_minimal_surface abstract "In differential geometry, Riemann's minimal surface is a one-parameter family of minimal surfaces described by Bernhard Riemann in a posthumous paper published in 1867. Surfaces in the family are singly periodic minimal surfaces with an infinite number of ends asymptotic to parallel planes, each plane "shelf" connected with catenoid-like bridges to the neighbouring ones. Their intersections with horizontal planes are circles or lines; Riemann proved that they were the only minimal surfaces fibered by circles in parallel planes besides the catenoid, helicoid and plane. They are also the only nontrivial embedded minimal surfaces in Euclidean 3-space invariant under the group generated by a nontrivial translation. It is possible to attach extra handles to the surfaces, producing higher-genus minimal surface families.".
- Riemanns_minimal_surface thumbnail Riemann_Minimal_Surface.png?width=300.
- Riemanns_minimal_surface wikiPageExternalLink riemann.html.
- Riemanns_minimal_surface wikiPageExternalLink index.html.
- Riemanns_minimal_surface wikiPageExternalLink minimalSurface.phtml.
- Riemanns_minimal_surface wikiPageID "36747670".
- Riemanns_minimal_surface wikiPageLength "2002".
- Riemanns_minimal_surface wikiPageOutDegree "12".
- Riemanns_minimal_surface wikiPageRevisionID "633189284".
- Riemanns_minimal_surface wikiPageWikiLink Bernhard_Riemann.
- Riemanns_minimal_surface wikiPageWikiLink Category:Differential_geometry.
- Riemanns_minimal_surface wikiPageWikiLink Category:Minimal_surfaces.
- Riemanns_minimal_surface wikiPageWikiLink Catenoid.
- Riemanns_minimal_surface wikiPageWikiLink Differential_geometry.
- Riemanns_minimal_surface wikiPageWikiLink End_(topology).
- Riemanns_minimal_surface wikiPageWikiLink Genus_(mathematics).
- Riemanns_minimal_surface wikiPageWikiLink Group_(mathematics).
- Riemanns_minimal_surface wikiPageWikiLink Helicoid.
- Riemanns_minimal_surface wikiPageWikiLink Minimal_surface.
- Riemanns_minimal_surface wikiPageWikiLink File:Riemann_Minimal_Surface.png.
- Riemanns_minimal_surface wikiPageWikiLinkText "Riemann's minimal surface".
- Riemanns_minimal_surface hasPhotoCollection Riemanns_minimal_surface.
- Riemanns_minimal_surface wikiPageUsesTemplate Template:Minimal_surfaces.
- Riemanns_minimal_surface wikiPageUsesTemplate Template:Reflist.
- Riemanns_minimal_surface subject Category:Differential_geometry.
- Riemanns_minimal_surface subject Category:Minimal_surfaces.
- Riemanns_minimal_surface hypernym Family.
- Riemanns_minimal_surface comment "In differential geometry, Riemann's minimal surface is a one-parameter family of minimal surfaces described by Bernhard Riemann in a posthumous paper published in 1867. Surfaces in the family are singly periodic minimal surfaces with an infinite number of ends asymptotic to parallel planes, each plane "shelf" connected with catenoid-like bridges to the neighbouring ones.".
- Riemanns_minimal_surface label "Riemann's minimal surface".
- Riemanns_minimal_surface sameAs m.0l8nlqq.
- Riemanns_minimal_surface sameAs Q5985592.
- Riemanns_minimal_surface sameAs Q5985592.
- Riemanns_minimal_surface wasDerivedFrom Riemanns_minimal_surfaceoldid=633189284.
- Riemanns_minimal_surface depiction Riemann_Minimal_Surface.png.
- Riemanns_minimal_surface isPrimaryTopicOf Riemanns_minimal_surface.