translation invariant surfaces in the 3-dimensional heisenberg group
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abstract
in this paper, we study translation invariant surfaces in the 3-dimensional heisenberg group $rm nil_3$. in particular, we completely classify translation invariant surfaces in $rm nil_3$ whose position vector $x$ satisfies the equation $delta x = ax$, where $delta$ is the laplacian operator of the surface and $a$ is a $3 times 3$-real matrix.
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 40
issue 6 2014
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