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This analysis reveals equatorial concentration of measure in isometric immersions and minimal Riemannian submersions of the sphere, highlighting geometric properties.
Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in , we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions , (), and by the minimal Riemannian submersions , ().
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Gimeno et al. (2025) studied this question.
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