ON THE ELLIPTIC CURVES ARISING FROM 4-BAR MECHANISMS

被引：0

作者：

Raza, Zahid ^{[1
]}

Nazir, Shaheen ^{[2
]}

机构：

[1] Natl Univ Comp & Emerging Sci Lahore, Lahore, Pakistan

[2] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2012年 / 42卷 / 04期

关键词：

Elliptic curves; real points; 4-bar mechanisms;

D O I：

10.1216/RMJ-2012-42-4-1359

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the residual curve R and the Darboux curve R' associated to a virtual 4-bar mechanism are two smooth elliptic curves defined over R, isomorphic over C but not isomorphic over R, see Theorem 2. The same question seems to be open for elliptic curves coming from an actual 4-bar mechanism. In this case we show that the corresponding real curves R(R) and R' (R) are diffeomorphic, see Theorem 3.

引用

页码：1359 / 1365

页数：7

共 49 条

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