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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.
Fuente: Potential Analysis, 2024, 61(2), 247-261
Publisher: Springer Nature
Publication date: 01/08/2024
No. of pages: 15
Publication type: Article
DOI: 10.1007/s11118-023-10108-2
ISSN: 0926-2601,1572-929X
Spanish project: PID2020-113887GB-I00
Publication Url: https://doi.org/10.1007/s11118-023-10108-2
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CARLOS BELTRAN ALVAREZ
TORRE, VÍCTOR DE LA
FATIMA LIZARTE LOPEZ
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