TITLE:
Some Results on Riemannean Multiple Barycenters
AUTHORS:
Mostafa Zahri, Naji Khallaf
KEYWORDS:
Smooth Manifold, Geodesic, Barycenter of Masses, Metric Space, Multiple Barycenters
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.7,
June
13,
2014
ABSTRACT: 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.