Isometric Deformation of (m, n)-Type Helicoidal Surface in the Three Dimensional Euclidean Space

被引：2

作者：

Guler, Erhan ^{[1
]}

机构：

[1] Bartin Univ, Fac Sci, Dept Math, TR-74100 Bartin, Turkey

来源：

MATHEMATICS | 2018年 / 6卷 / 11期

关键词：

euclidean three-space; helicoidal surface of value (m; n); rotational surface of value (m; mean curvature; Gaussian curvature; Gauss map; LAPLACE-BELTRAMI OPERATOR; BOURS THEOREM; GAUSS MAP; HYPERSURFACE;

D O I：

10.3390/math6110226

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a new kind of helicoidal surface for natural numbers (m,n) in the three-dimensional Euclidean space. We study a helicoidal surface of value (m, n), which is locally isometric to a rotational surface of value (m, n). In addition, we calculate the Laplace-Beltrami operator of the rotational surface of value (0,1).

引用

页数：12

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