Constant Mean Curvature Immersions of Enneper Type
Henry C. Wente
Jan 1992 · American Mathematical Society: Memoirs of the American Mathematical Society Book 478 · American Mathematical Soc.
Ebook
77
Pages
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About this ebook
This work is devoted to the case of constant mean curvature surfaces immersed in R3 (or, more generally, in spaces of constant curvature). Wente reduces this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in R3 with embedded Delaunay ends and n-lobes in the middle, and one-parameter families of immersed cmc tori in R3. Finally, Wente examines minimal surfaces in hyperbolic three-space, which is in some ways the most complicated case.
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