%0 Journal Article
%T Invariant Metrics with Nonnegative Curvature on SO(4)
%A Kristopher Tapp
%J Mathematics
%D 2006
%I arXiv
%X We derive a curvature-variation formula for a path of left-invariant metrics on a compact Lie group, beginning at a bi-invariant metric. We prove rigidity theorems for paths which remain nonnegatively curved, and we make progress towards a classification of the left-invariant metrics with nonnegative curvature on SO(4).
%U http://arxiv.org/abs/math/0608363v1