Author/Authors
JAFARI, Mehdi Technical and Vocational University - Department of Mathematics, ايران
Title Of Article
HOMOTHETIC MOTIONS IN THE GENERALIZED 3-SPACE
شماره ركورد
41878
Abstract
A complete treatment of one parameter homothetic motions in three and four dimensional Euclidean spaces is provided in the Yayli s PhD thesis [15]. Here we follow his idea to define one parameter homothetic motion in generalized 3-space E^3_αβ. By means of the generalized Hamilton operators, we also define a Hamilton motion and show that it is a homothetic motion. We investigate some properties of this motion and show that Darboux vector of the motion can be written as multiplication of two generalized quaternions.
From Page
43
NaturalLanguageKeyword
Darboux vector , generalize Hamilton operator , Generalized quaternion , Homothetic motion , Pole point.
JournalTitle
Eskişehir Technical University Journal of Science and Technology B - Theoretical Sciences
To Page
51
JournalTitle
Eskişehir Technical University Journal of Science and Technology B - Theoretical Sciences
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