Invariant Metrics with Nonnegative Curvature on SO(4)

Details Invariant Metrics with Nonnegative Curvature on SO(4) Invariant Metrics with Nonnegative Curvature on SO(4)

2006-08-14

arxiv.org/abs/math/0608363v1

Mathematics

Differential Geometry

Scientific paper

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).

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