Invariant Metrics with Nonnegative Curvature on SO(4)
Differential Geometry
2007-05-23 v1 Metric Geometry
Abstract
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).
Keywords
Cite
@article{arxiv.math/0608363,
title = {Invariant Metrics with Nonnegative Curvature on SO(4)},
author = {Kristopher Tapp},
journal= {arXiv preprint arXiv:math/0608363},
year = {2007}
}