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Some Results on Riemannean Multiple Barycenters

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DOI: 10.4236/jamp.2014.27058    3,489 Downloads   4,124 Views Citations

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.

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Zahri, M. and Khallaf, N. (2014) Some Results on Riemannean Multiple Barycenters. Journal of Applied Mathematics and Physics, 2, 503-509. doi: 10.4236/jamp.2014.27058.

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