Minimal torus in S3 invariant under one reflection
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| Format: | Artículo científico |
| Sprache: | en |
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Escuela Regional de Matemáticas
2007
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| _version_ | 1876450438776094720 |
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| author | Oscar Perdomo |
| author_facet | Oscar Perdomo |
| contents | Minimal torus in S3 invariant under one reflection Oscar Perdomo Física, Astronomía y Matemáticas spheres Minimal torus Lawson conjecture In this paper we prove that if M c S3 is a minimal torus and M is invariant under thereflection R4(x1, x2, x3, x4) = (x1, x2, x3,−x4), then M is the union of two cylinders, Cand R(C), where C = {x 2 M : x4 < 0}. Moreover, M is conformally equivalent to thequotient of R2 with a rectangular lattice 2007 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46809902 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.Esp Vol.XV |
| format | Artículo científico |
| id | redalyc_46809902 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | Minimal torus in S3 invariant under one reflection Oscar Perdomo Física, Astronomía y Matemáticas spheres Minimal torus Lawson conjecture Minimal torus in S3 invariant under one reflection Oscar Perdomo Física, Astronomía y Matemáticas spheres Minimal torus Lawson conjecture In this paper we prove that if M c S3 is a minimal torus and M is invariant under thereflection R4(x1, x2, x3, x4) = (x1, x2, x3,−x4), then M is the union of two cylinders, Cand R(C), where C = {x 2 M : x4 < 0}. Moreover, M is conformally equivalent to thequotient of R2 with a rectangular lattice 2007 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46809902 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.Esp Vol.XV |
| title | Minimal torus in S3 invariant under one reflection |
| topic | Física, Astronomía y Matemáticas spheres Minimal torus Lawson conjecture |
| url | https://www.redalyc.org/articulo.oa?id=46809902 |