Ruled minimal surfaces in $\Bbb R^3$ with density $e^z$

Details Ruled minimal surfaces in $\Bbb R^3$ with density $e^z$ Ruled minimal surfaces in $\Bbb R^3$ with density $e^z$

2009-01-25

arxiv.org/abs/0901.3904v2

Mathematics

Differential Geometry

11 pages

Scientific paper

We classify ruled minimal surfaces in $\Bbb R^3$ with density $e^z.$ It is
showed that there is no noncylindrical ruled minimal surface and there is a
family of cylindrical ruled minimal surfaces in $\Bbb R^3$ with density $e^z.$
It is also proved that all translation minimal surfaces are ruled.

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