科研之友
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摘要
We characterize constant mean curvature surfaces in the three-dimensional Heisenberg group by a family of flat connections on the trivial bundle D x GL(2)C over a simply connected domain D in the complex plane. In particular for minimal surfaces, we give an immersion formula, the so-called Sym-formula, and a generalized Weierstrass type representation via the loop group method. Our generalized Weierstrass type representation produces all simply-connected non-vertical minimal surfaces in the Heisenberg group.
- 出版日期2016-7
