Displaying similar documents to “A case study of quantization of curves surfaces: The Myllar balloon”

Complete minimal surfaces in 3 with type Enneper end

Nedir Do Espirito Santo (1994)

Annales de l'institut Fourier

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We show that there exists a complete minimal surface immersed into 3 which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is - 16 π .

Doubling constant mean curvature tori in S 3

Adrian Butscher, Frank Pacard (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The Clifford tori in S 3 constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled...