Catherine L. Searle

$${\mathbb {Z}}_{p}$$-Torus Actions on Positively Curved Manifolds

Abstract In this article, we study closed, positively curved n -manifolds that admit an effective, isometric $${\mathbb {Z}}_{p}^r$$ Z p r -action with a fixed point, where p is an odd prime. For all sufficiently large n , we obtain a symmetry rank bound in Theorem A that improve...