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

Minghao Li, Li Ou and Shuangcai Zhang
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Minghao Li: Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200438, China
Li Ou: School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Shuangcai Zhang: School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Mathematics, 2022, vol. 10, issue 11, 1-16

Abstract: In this paper, we classify the complete regular orientable minimal surfaces in R n with total curvature − 6 π and give a method to construct a series of complete non-holomorphic minimal surfaces with total curvature − 6 π . Specially, we give a simplified classification in another method if the surfaces lie in R 4 .

Keywords: total curvature; complete minimal surfaces; orientable surfaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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