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

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dc.creatorHoang, Nguyen Minh
dc.creatorHieu, Doan The
dc.date2009-01-25
dc.date2009-02-08
dc.date.accessioned2026-07-07T12:38:31Z
dc.date.available2026-07-07T12:38:31Z
dc.descriptionWe 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0901.3904
dc.identifierhttp://arxiv.org/abs/0901.3904
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218785
dc.subjectDifferential Geometry
dc.subject53C25 (Primary), 53A10 (Secondary), 49Q05
dc.titleRuled minimal surfaces in $\Bbb R^3$ with density $e^z$
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