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

Nguyen Minh Hoang; Doan The Hieu

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

Differential Geometry 2009-02-08 v2

Authors: Nguyen Minh Hoang , Doan The Hieu

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.

Keywords

minimal surfaces algebraic surfaces surfaces and embeddings

Cite

@article{arxiv.0901.3904,
  title  = {Ruled minimal surfaces in $\Bbb R^3$ with density $e^z$},
  author = {Nguyen Minh Hoang and Doan The Hieu},
  journal= {arXiv preprint arXiv:0901.3904},
  year   = {2009}
}

Comments

11 pages

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