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Moduli space of metrics of nonnegative sectional or positive ricci curvature on homotopy realprojective spaces

Dessai, Anand ; Gonzalez-Alvaro, David

In: Transactions of the American Mathematical Society, 2019, p. -

We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy $\R P^5$ has infinitely many path components. We also show that in each dimension $4k+1$ there are at least $2^{2k}$ homotopy $\R P^{4k+1}$s of pairwise distinct oriented diffeomorphism type for which the moduli space of metrics of positive Ricci curvature has infinitely many path components. Examples of...