期刊文献+

A Note on Minimal Surfaces in Euclidean 3-Space

A Note on Minimal Surfaces in Euclidean 3-Space
原文传递
导出
摘要 In this note, a construction of minimal surfaces in Euclidean 3-space is given. By using the product of Weierstrass data of two known minimal surfaces, one gets a new Weierstrass data and a corresponding minimal surface from the Weierstrass representation. In this note, a construction of minimal surfaces in Euclidean 3-space is given. By using the product of Weierstrass data of two known minimal surfaces, one gets a new Weierstrass data and a corresponding minimal surface from the Weierstrass representation.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第11期2079-2086,共8页 数学学报(英文版)
基金 Supportcd partially by the National Natural Science Foundation of China(Grant No.10371014) Funds of Beijing Talented Persons
关键词 Euclidean space minimal surface Weierstrass representation Euclidean space, minimal surface, Weierstrass representation
  • 相关文献

参考文献9

  • 1Costa, C. J.: Example of a complete minimal immersion in R^3 of genus one and three embedded ends. Bol. Soc. Bras. Math., 15, 47-54 (1984)
  • 2Jorge, L. P. M., Meeks, W. H.: H, The topology of complete minimal surfaces of finite total Gauss Curvature. Topology, 22, 203-221 (1983)
  • 3Nadirashvili, N.: Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces. Invent. Math., 126, 457-465 (1996)
  • 4Ossermann, R.: A Survey of Minimal Surfaces, Van Nostrand, Reinhold, New York, 1969
  • 5Ossermann, R.: Global properties of minimal surfaces in E^3 and E^n. Ann. of Math., 80, 340-364 (1964)
  • 6Barbosa, J. L. M., Colares, A. G.: Minimal Surfaces in R^3, Lecture Notes in Mathematics 1195, Springer Verlag, 1980
  • 7Schoen, R.: Uniqueness Symmetry and Embeddedness of Minimal Surfaces.J. Differential Geometry, 18, 791-809 (1983)
  • 8Yu, Z. H.: Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends. Tohoku Math. ,L, 53, 305-318 (2001)
  • 9Mercuri, F., Montaldo, S., Piu, P.: A Weierstrass representation formula for minimal surfaces in H3 and H2 E^2×R. Acta Mathematica Sinica, English Series, 22(6), 1603-1612 (2006)

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部