Discrete and continuous green energy on compact manifolds

Beltrán Álvarez, Carlos; Corral Pérez, Nuria; González Criado del Rey, Juan

doi:10.1016/j.jat.2018.09.004

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Identificadores

URI: https://hdl.handle.net/10902/34949

DOI: 10.1016/j.jat.2018.09.004

ISSN: 0021-9045

ISSN: 1096-0430

Fecha

2019-01

Derechos

Publicado en

Journal of Approximation Theory, 2019, 237, 160-185

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.jat.2018.09.004

Palabras clave

Green energy

Well–distributed points

Harmonic manifold

Resumen/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.

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© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Excepto si se señala otra cosa, la licencia del ítem se describe como © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/