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.
Yoon, D. W., & Lee, J. W. (2014). Translation invariant surfaces in the 3-dimensional Heisenberg group. Bulletin of the Iranian Mathematical Society, 40(6), 1373-1385.
MLA
D. W. Yoon; J. W. Lee. "Translation invariant surfaces in the 3-dimensional Heisenberg group". Bulletin of the Iranian Mathematical Society, 40, 6, 2014, 1373-1385.
HARVARD
Yoon, D. W., Lee, J. W. (2014). 'Translation invariant surfaces in the 3-dimensional Heisenberg group', Bulletin of the Iranian Mathematical Society, 40(6), pp. 1373-1385.
VANCOUVER
Yoon, D. W., Lee, J. W. Translation invariant surfaces in the 3-dimensional Heisenberg group. Bulletin of the Iranian Mathematical Society, 2014; 40(6): 1373-1385.
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