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Pu's inequality : ウィキペディア英語版 | Pu's inequality
In differential geometry, Pu's inequality is an inequality proved by Pao Ming Pu for the systole of an arbitrary Riemannian metric on the real projective plane RP2. ==Statement== A student of Charles Loewner's, P.M. Pu proved in a 1950 thesis that every metric on the real projective plane satisfies the optimal inequality : where sys is the systole. The boundary case of equality is attained precisely when the metric is of constant Gaussian curvature.
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