%0 Journal Article
%T Some Results on Riemannean Multiple Barycenters
%A Mostafa Zahri
%A Naji Khallaf
%J Journal of Applied Mathematics and Physics
%P 503-509
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.27058
%X <p style=\"text-align:justify;\">
	<span style=\"font-size:10.0pt;font-family:;\" \"=\"\"><span style=\"font-family:Verdana;line-height:1.5;font-size:12px;\">A characteristic of
a special case of Riemannean barycenters on the unit circle is presented. The
non-uniqueness of such barycenters leads to an interesting study of the
so-called multiple barycenters. In this work, we deal with a smooth one-dimensional
manifold </span><i><span style=\"font-family:Verdana;line-height:1.5;font-size:12px;\">S</span></i><sup><span style=\"font-family:Verdana;line-height:1.5;font-size:12px;\">1</span></sup><span style=\"font-family:Verdana;line-height:1.5;font-size:12px;\"> only. Some theoretical and
computational analysis is listed.</span></span> 
</p>
%K Smooth Manifold
%K Geodesic
%K Barycenter of Masses
%K Metric Space
%K Multiple Barycenters
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=46805