Translation invariant surfaces in the 3-dimensional Heisenberg group
نویسندگان
چکیده مقاله:
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.
منابع مشابه
translation invariant surfaces in the 3-dimensional heisenberg group
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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عنوان ژورنال
دوره 40 شماره 6
صفحات 1373- 1385
تاریخ انتشار 2014-12-01
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