| Construction of Minimal Surfaces with Special Type Ends |
| Received:April 08, 2009 Revised:April 26, 2010 |
| Key Words:
minimal surface total curvature end winding order.
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| Fund Project:Supported by the Specific Research Fund of the Doctoral Program of Higher Education of China (Grant No.20050141011), the MATH X Project offered by Dalian University of Technology (Grant No.MXDUT073005) and the Science Fund of Dalian University of Technology. |
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| Abstract: |
| We proved that there exists a family of complete oriented minimal surfaces in ${\mathbb{R}}^3$ with finite total curvature $-4n\pi$, each of which has $0$ genus and two ends, and both of the ends have winding order $n$, where $n\in\mathbb{N}$, and discussed the symmetric property for special parameters. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.007 |
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