New Complex Analytic Methods In The Study Of Non Orientable Minimal Surfaces In Rn
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New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in Rn
Author | : Antonio Alarcón |
Publisher | : American Mathematical Soc. |
Total Pages | : 77 |
Release | : 2020-05-13 |
Genre | : Education |
ISBN | : 1470441616 |
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All the new tools mentioned above apply to non-orientable minimal surfaces endowed with a fixed choice of a conformal structure. This enables the authors to obtain significant new applications to the global theory of non-orientable minimal surfaces. In particular, they construct proper non-orientable conformal minimal surfaces in Rn with any given conformal structure, complete non-orientable minimal surfaces in Rn with arbitrary conformal type whose generalized Gauss map is nondegenerate and omits n hyperplanes of CPn−1 in general position, complete non-orientable minimal surfaces bounded by Jordan curves, and complete proper non-orientable minimal surfaces normalized by bordered surfaces in p-convex domains of Rn.
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