Positively curved $10$-manifolds with $T^3$-symmetry
Differential Geometry
2026-01-01 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.2310.12689,
title = {Positively curved $10$-manifolds with $T^3$-symmetry},
author = {Anusha M. Krishnan and Michael Wiemeler},
journal= {arXiv preprint arXiv:2310.12689},
year = {2026}
}
Comments
21 pages, to appear in Commun. Contemp. Math