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

2019
Published in:
• Transactions of the American Mathematical Society. - 2019
##### Brieskorn spheres
English 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 closed manifolds with finite fundamental group with these properties were known before only in dimensions \$4k+3\geq 7\$.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
• English
Classification
Mathematics