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

Hoang, Nguyen Minh; Hieu, Doan The

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

Authors

Description

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.
11 pages