New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in Rn
May 2020 · Memoirs of the American Mathematical Society Book 1283 · American Mathematical Soc.
Ebook
77
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About this ebook
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.
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-orient...
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About the author
Universidad de Granada, Granada, Spain
University of Ljubljana, Ljubljana, Slovenia
Universidad de Granada, Granada, Spain
Universidad de Granada, Granada, Spain
University of Ljubljana, Ljubljana, Slovenia
Universidad de Granada, Granada, Spain
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