论文标题
高斯映射N满足$δ^{II} n =λn$的管状表面
Tubular Surfaces Whose Gauss Map N Satisfies $Δ^{II}N = ΛN$
论文作者
论文摘要
In this paper, we consider tubes in the Euclidean 3-space whose Gauss map N is of coordinate finite II-type, i.e., the position vector N satisfies the relation $Δ^{II}N = ΛN$, where $Δ^{II}$ is the Laplace operator with respect to the second fundamental form I of the surface and $Λ$ is a square matrix of order 3. We show that circular气缸是上面坐标有限的I-Type高斯图的唯一类别的表面。
In this paper, we consider tubes in the Euclidean 3-space whose Gauss map N is of coordinate finite II-type, i.e., the position vector N satisfies the relation $Δ^{II}N = ΛN$, where $Δ^{II}$ is the Laplace operator with respect to the second fundamental form I of the surface and $Λ$ is a square matrix of order 3. We show that circular cylinders are the only class of surfaces mentioned above of coordinate finite I-type Gauss map.
