3,989 research outputs found
ON GEOGRAPHICAL RELATIONSHIP BETWEEN THE CHEMICAL NATURE OF RIVER WATER AND DEATH-RATE FROM APOPLEXY (Preliminary Report)
Chemical Investigation on the Water of Rivers in japan. I. On the Quality of Water in Akita Prefecture.
A loop group method for minimal surfaces in the three-dimensional Heisenberg group
We characterize constant mean curvature surfaces in the three-dimensional
Heisenberg group by a family of flat connections on the trivial bundle \D
\times \GL over a simply connected domain 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.Comment: 40 pages, v2: The argument for branch points has been fixed and the
references have been updated. v3: The argument for canonical examples has
been fixed and the classification for homogeneous surfaces has been added v4:
Some typos are fixed and Remark 5.4 (3) is adde
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