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Low-energy points on the sphere and the real projective plane

机译：Low-energy points on the sphere and the real projective plane

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? 2023 The Author(s)We present a generalization of a family of points on S2, the Diamond ensemble, containing collections of N points on S2 with very small logarithmic energy for all N∈N. We extend this construction to the real projective plane RP2 and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space.

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