Hamilton算子和R<sup>3</sup>中相似运动

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Hamilton算子和R³中相似运动

Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandogan, Ankara, Turkey

摘要: 四元数是一个可除环．它可表达为R3中通过原点的平面中的四元数乘积的域．利用Hamilton算子，定义了在该平面上的相似运动，并讨论了这些运动的新特性．
- Hamilton算子 /
- 相似运动 /
- 四元数
Abstract: Quaternion is a division ring. It is shown that planes passing through the origin can be made a field with the quaternion product in R³. The Hamiltonian operators help us define the homothetic motions on these planes. New characterizations for these motions are investigated.
- Hamilton operator /
- homothetic motion /
- quaternion

[1]	Pfaff Frank R.A commutative multiplication of number triplets[J].Amer Math Monthly,2000,107:156—162. doi: 10.2307/2589437
[2]	Agrawall O P.Hamilton operators and dual-number quaternions in spatial kinematic[J].Mech Mach Theory,1987,22(6):569—575. doi: 10.1016/0094-114X(87)90052-8
[3]	Yayli Y.Homothetic motions at E[KG*4]. 4[J].Mech Mach Theory,1992,27(3):303—305.
[4]	Hacisalihoglu H H.On the rolling of one curve or surface upon another[J].Proc Roy Irish Acad Sect A,1971,71(2):13—16.
[5]	Yayli Y,Hacisalihoglu H H,Ergin A A.On the division algebras in R3[J].Algebras,Groups and Geometries,2001,18:341—348.