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MINIMAL SURFACES IN 3-DIMENSIONAL SOLVABLE LIE GROUPS |
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Citation: |
J. INOGUCHI.MINIMAL SURFACES IN 3-DIMENSIONAL SOLVABLE LIE GROUPS[J].Chinese Annals of Mathematics B,2003,24(1):73~84 |
Page view: 1819
Net amount: 748 |
Authors: |
J. INOGUCHI; |
Foundation: |
Partially supported by Grant-in-Aid for Encouragement of Young Scientists (No. 12740051), Japan
Society for Promotion of Science. |
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Abstract: |
The author studies minimal surfaces in 3-dimensional solvable Lie groups with left invariant
Riemannian metrics. A Weierstra? type integral representation formula for minimal surfaces is
obtained. |
Keywords: |
Minimal surfaces, Solvable Lie groups, Harmonic maps |
Classification: |
53A10, 53C15, 53C30 |
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