MINIMAL SURFACES IN 3-DIMENSIONAL SOLVABLE LIE GROUPS

Citation:

J. INOGUCHI.MINIMAL SURFACES IN 3-DIMENSIONAL SOLVABLE LIE GROUPS[J].Chinese Annals of Mathematics B,2003,24(1):73~84
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Authors:

J. INOGUCHI;

Foundation:

Partially supported by Grant-in-Aid for Encouragement of Young Scientists (No. 12740051), Japan Society for Promotion of Science.
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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