Classification of Complete Regular Minimal Surfaces in ℝn with Total Curvature −6π

In this paper, we classify the complete regular orientable minimal surfaces in Rn with total curvature −6π and give a method to construct a series of complete non-holomorphic minimal surfaces with total curvature −6π. Specially, we give a simplified classification in another method if the surfaces l...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 11; p. 1820
Main Authors Li, Minghao, Ou, Li, Zhang, Shuangcai
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 25.05.2022
Subjects
Classification
complete minimal surfaces
Curvature
Mathematics
Minimal surfaces
orientable surfaces
Surface geometry
total curvature
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Summary:In this paper, we classify the complete regular orientable minimal surfaces in Rn with total curvature −6π and give a method to construct a series of complete non-holomorphic minimal surfaces with total curvature −6π. Specially, we give a simplified classification in another method if the surfaces lie in R4.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10111820