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