首页|Conjugate Surfaces of a Family of Minimal Surfaces of Genus 1 with 4 Planar Ends in R3

Conjugate Surfaces of a Family of Minimal Surfaces of Genus 1 with 4 Planar Ends in R3

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
Conjugate Surfaces of a Family of Minimal Surfaces of Genus 1 with 4 Planar Ends in R3
Costa first constructed a family of complete minimal surfaces which have genus 1 and 4 planar ends by use of Weierstrass-(o)functions.They are Willmore tori of Willmore energy 167r.In this paper,the authors consider the geometry of conjugate surfaces of these surfaces.It turns out that these conjugate surfaces are doubly periodic minimal surfaces with flat ends in R3.Moreover,the authors can also perform a Lorentzian deformation on these Costa's minimal tori,which produce a family of complete space-like stationary surfaces(i.e.,of zero mean curvature)with genus 1 and 4 planar ends in 4-dimensional Lorentz-Minkowski space R41.

Conjugate surfacesWeierstrass representationElliptic functionsDoubly periodic minimal surfaces

Yulin SHI、Peng WANG、Xiaozhen WANG

展开 >

School of Mathematics and Statistics,Fujian Key Laboratory of Mathematical Analysis and its Appli-cation,Fujian Normal University,Fuzhou 350117,China

Ganzhou Middle School,Ganzhou 341000,Jiangxi,China

School of Mathematics and Statistics,Fujian Key Laboratory of Mathematical Analysis and its Appli-cations,Fujian Normal University,Fuzhou 350117,China

School of Mathematics and Statistics,Fujian Key Laboratory of Mathematical Analysis and its Applications,Fujian Normal University,Fuzhou 350117,China

展开 >

Conjugate surfaces Weierstrass representation Elliptic functions Doubly periodic minimal surfaces

2024

10.1007/s11401-024-0045-1

数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子：0.129
ISSN：0252-9599
年,卷(期)：2024.45(6)