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Abstract: In this note we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove that a sequence of minimizers for the Green energy is asymptotically uniformly distributed. We pay special attention to the case of locally harmonic manifolds.
Fuente: Journal of Approximation Theory 237 (2019) 160-185
Publisher: Elsevier
Year of publication: 2019
No. of pages: 26
Publication type: Article
DOI: 10.1016/j.jat.2018.09.004
ISSN: 0021-9045,1096-0430
Publication Url: https://doi.org/10.1016/j.jat.2018.09.004
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CARLOS BELTRAN ALVAREZ
NURIA CORRAL PEREZ
JUAN GONZALEZ CRIADO DEL REY
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