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

Nguyen Minh Hoang; Doan The Hieu

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arXiv · 0901.3904

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

Nguyen Minh Hoang·Doan The Hieu

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Abstract

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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BibTeX RIS

Nguyen Minh Hoang, Doan The Hieu. 2009-02-08. Ruled minimal surfaces in $\Bbb R^3$ with density $e^z$. https://arxiv.org/abs/0901.3904

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