| 书目名称 | Minimal Surfaces from a Complex Analytic Viewpoint |
| 编辑 | Antonio Alarcón,Franc Forstnerič,Francisco J. Lópe |
| 视频video | |
| 概述 | The first book treating minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed only recently.Treats the global theory of minimal surfaces with a given comp |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure..Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of .R.n., based on the Riemann–Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi–Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface..Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in di |
| 出版日期 | Book 2021 |
| 关键词 | Minimal surface; Conformal minimal immersion; Oka theory; Calabi-Yau problem; Holomorphic approximation; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-69056-4 |
| isbn_softcover | 978-3-030-69058-8 |
| isbn_ebook | 978-3-030-69056-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:02:48
