New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ

The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in All our new tools mentioned above apply to non-orientable minimal surfaces endowed with a fixed choice of a conformal structure. This enables us...

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Bibliographic Details
Main Authors: Alarcón, Antonio, Forstnerič, Franc, López, Francisco J.
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2020
Series:Memoirs of the American Mathematical Society
Subjects:
non-orientable surfaces
minimal surfaces
Riemann surfaces
ISBN:1470441616, 9781470441616
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary:The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in All our new tools mentioned above apply to non-orientable minimal surfaces endowed with a fixed choice of a conformal structure. This enables us to obtain significant new applications to the global theory of non-orientable minimal surfaces. In particular, we construct proper non-orientable conformal minimal surfaces in
Bibliography:Includes bibliographical reference (p. 73-77)
March 2020, volume 264, number 1283 (sixth of 6 numbers)
ISBN:1470441616
9781470441616
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1283