Techniques for classifying nonnegatively curved left-invariant metrics on compact Lie groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115422We provide techniques for studying the nonnegatively curved left-invariant metrics on a compact Lie group. For "straight" paths of left-invariant metrics starting at bi-invariant metrics and ending at nonnegatively curved metrics, we deduce a nonnegativity property of the initial derivative of curvature. We apply this result to obtain a partial classification of the nonnegatively curved left-invariant metrics on SO(4).13 pagesDifferential GeometryMetric Geometry53CTechniques for classifying nonnegatively curved left-invariant metrics on compact Lie groupstext