Trigonal minimal surfaces in flat tori

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dc.creatorShoda, Toshihiro
dc.date2007-03-21
dc.date2007-05-04
dc.date.accessioned2026-07-07T07:59:23Z
dc.date.available2026-07-07T07:59:23Z
dc.descriptionIn this paper, we study trigonal minimal surfaces in flat tori. First, we show a topological obstruction similar to that of hyperelliptic minimal surfaces. Actually, the genus of trigonal minimal surface in 3-dimensional flat torus must be 1 (mod 3). Next, we construct an explicit example in the higher codimensional case. This surface satisfies good properties and is theoretically distinct from traditional examples.
dc.description21pages. to appear in Pacific Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0703622
dc.identifierhttp://arxiv.org/abs/math/0703622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128349
dc.subjectDifferential Geometry
dc.subject53A10, 53C42
dc.titleTrigonal minimal surfaces in flat tori
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