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Generalized Fermat's Problem

Published online by Cambridge University Press:  20 November 2018

R. Noda
Affiliation:
Department of Mathematics, College of Liberal Arts and Sciences, Okayama University, Tsushima, Okayama 700, Japan
T. Sakai
Affiliation:
Department of Mathematics, Faculty of Science, Okayama University, Tsushima, Okayama 700, Japan
M. Morimoto
Affiliation:
Department of Mathematics, College of Liberal Arts and Sciences, Okayama University, Tsushima, Okayama 700, Japan
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Abstract

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The following problem is studied. Generalized Fermat's problem: in an n-dimensional Hadamard manifold M, locate a point whose distances from the given k vertices of M have the smallest possible sum.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1991