Invariant metrics with nonnegative curvature on compact Lie groups

Nathan Brown; Rachel Finck; Matthew Spencer; Kristopher Tapp; Zhongtao Wu

Invariant metrics with nonnegative curvature on compact Lie groups

Differential Geometry 2007-05-23 v1 Metric Geometry

Authors: Nathan Brown , Rachel Finck , Matthew Spencer , Kristopher Tapp , Zhongtao Wu

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Abstract

We classify left invariant metrics with nonnegative curvature on SO(3) and U(2).

Keywords

lie groups invariant theory

Cite

@article{arxiv.math/0409537,
  title  = {Invariant metrics with nonnegative curvature on compact Lie groups},
  author = {Nathan Brown and Rachel Finck and Matthew Spencer and Kristopher Tapp and Zhongtao Wu},
  journal= {arXiv preprint arXiv:math/0409537},
  year   = {2007}
}