Positively curved 10-manifolds with T^3-symmetry

Krishnan, Anusha M.; Wiemeler, Michael

Research article (journal) | Peer reviewed

Abstract

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

Details about the publication

JournalCommunications in Contemporary Mathematics
StatusPublished
Release year2025
DOI10.1142/S021919972550018X
KeywordsPositive curvature; torus symmetry; homotopy classification

Authors from the University of Münster

Krishnan, Anusha Mangala
Mathematical Institute
Wiemeler, Michael
Professur für Differentialgeometrie (Prof. Wilking)