paper

Positively curved -manifolds with -symmetry

arXiv:2310.12689 · doi:10.1142/S021919972550018X

Abstract

We show that closed, simply connected, positively curved 10-manifolds with effective, isometric actions of -dimensional tori are homotopy spheres or homotopy complex projective spaces.

21 pages, to appear in Commun. Contemp. Math