Helicoidal surfaces with Delta(J)(r) = Ar in 3-dimensional Euclidean space

被引：0

作者：

Senoussi, Bendehiba ^{[1
]}

Bekkar, Mohammed ^{[2
]}

机构：

[1] Univ Chlef, Fac Sci, Dept Math, Chlef, Algeria

[2] Univ Oran, Fac Sci, Dept Math, Oran, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2015年 / 60卷 / 03期

关键词：

Surfaces of coordinate finite type; helicoidal surfaces; Laplace operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the helicoidal surfaces in the 3-dimensional Euclidean space under the condition Delta(J)(r) = Ar; J = I,II, III, where A = (a(ij)) is a constant 3 x 3 matrix and Delta(J) denotes the Laplace operator with respect to the fundamental forms I, II and III.

引用

页码：437 / 448

页数：12

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