Some Results on Riemannean Multiple Barycenters  

作　　者：Mostafa Zahri Naji Khallaf 

机构地区：[1]Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia

出　　处：《Journal of Applied Mathematics and Physics》2014年第7期503-509,共7页应用数学与应用物理（英文）

摘　　要：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 S1 only. Some theoretical and computational analysis is listed.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 S1 only. Some theoretical and computational analysis is listed.

关 键 词：SMOOTH MANIFOLD GEODESIC Barycenter of MASSES METRIC Space MULTIPLE Barycenters 

分 类 号：O1[理学—数学]