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Correctness of Thierry Aubin's argument about positive Ricci curvature

In his paper [2], Paul Ehrlich write

In [1], Aubin stated a theorem which implied as a corollary that if a manifold $M$ admits a Riemannian metric with nonnegative Ricci curvature and all Ricci curvatures positive at some point, then $M$ admits a metric of everywhere positive Ricci curvature. It appears the proof in [1] is incomplete and the uniformity and correctness of Aubin's estimates even in the compact case are not clear.

Aubin paper is a bit technical so I want to know is P. Ehrlich claim/objection about correctness or incompleteness of Aubin's proof acceptable?


[1]: Aubin, T., Métriques riemanniennes et courbure, J. Differ. Geom. 4, 383-424 (1970). ZBL0212.54102.

[2]: Ehrlich, Paul, Metric deformations of curvature. I: Local convex deformations, Geom. Dedicata 5, 1-23 (1976). ZBL0345.53024.

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