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New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in Rn
Antonio AlarcónFranc ForstneričFrancisco J. López
出版American Mathematical Soc., 2020-05-13
主題Education / General
ISBN14704416169781470441616
URLhttp://books.google.com.hk/books?id=envkDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.