Lang H (2005)
Publication Type: Other publication type
Publication year: 2005
Series: Bericht zur Differentialgeometrie und Topologie
Pages Range: 9
The existence of a complete, embedded minimal surface of genus one, with three ends and whose total Gaussian curvature satisfies equality in the estimate of Jorge and Meeks – which is therefore especially finite –, was a sensation in the middle eighties. From this moment on, the surface of Costa, Hoffman and Meeks has become famous all around the world, not only in the community of mathematicians. With this article, we want to fill a gap in the injectivity proof of Hoffman and Meeks, where there is a lack of a strict mathematical justification. Naturally, our paper is not intended to derogate their inimitably wonderful work. We exclusively argue topologically and do not use additional properties like differentiability or even holomorphy.
APA:
Lang, H. (2005). Notes at the embeddedness of the minimal surface of Costa, Hoffman and Meeks.
MLA:
Lang, Holger. Notes at the embeddedness of the minimal surface of Costa, Hoffman and Meeks. 2005.
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