@article{10902/33802, year = {2024}, month = {8}, url = {https://hdl.handle.net/10902/33802}, abstract = {In this paper, we get the sharpest known to date lower bounds for the minimal Green energy of the compact harmonic manifolds of any dimension. Our proof generalizes previous ad-hoc arguments for the most basic harmonic manifold, i.e. the sphere, extending it to the general case and remarkably simplifying both the conceptual approach and the computations.}, organization = {First and third authors belong to the Universidad de Cantabria and are supported by Grant PID2020-113887GB-I00 funded by MCIN/ AEI /10.13039/501100011033. The second author belongs to the Universitat de Barcelona and has been partially supported by grant PID2021-123405NB-I00 by the Ministerio de Ciencia, Innovación y Universidades, Gobierno de España and by the Generalitat de Catalunya (project 2017 SGR 358). The third author has also been supported by Grant PRE2018-086103 funded by MCIN/AEI/10.13039/501100011033 and by ESF Investing in your future.}, publisher = {Springer Nature}, publisher = {Potential Analysis, 2024, 61(2), 247-261}, title = {Lower bound for the green energy of point configurations in harmonic manifolds}, author = {Beltrán Álvarez, Carlos and Torre, Víctor de la and Lizarte López, Fátima}, }