%0 Journal Article
%T On the Rotation of a Vector Field in a Four-Dimensional Space
%A Leonardo Simal Moreira
%J Applied Mathematics
%P 128-136
%@ 2152-7393
%D 2014
%I Scientific Research Publishing
%R 10.4236/am.2014.51015
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">Recently I published a
paper in the journal ALAMT (<i>Advances in
Linear Algebra &amp; Matrix Theory</i>) and explored the possibility of
obtaining products of vectors in dimensions higher than three [1]. In
continuation to this work, it is proposed to develop, through dimensional
analogy, a vector field with notation and properties analogous to the curl, in
this case applied to the space <i>IR</i><sup>4</sup>.
One can see how the similarities are obvious in relation to the alge</span><span lang=\"EN-US\">braic properties and the geometric structures,
if the rotations are compared in spaces of three and four dimen</span><span lang=\"EN-US\">sions.</span> 
</p>
%K Products of Vectors
%K Dimensional Analogy
%K Vector Fields
%K Curl
%K Rotations
%K Curl by Analogy
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=41822