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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218785We 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 pagesDifferential Geometry53C25 (Primary), 53A10 (Secondary), 49Q05Ruled minimal surfaces in $\Bbb R^3$ with density $e^z$text