Invariant metrics with nonnegative curvature on SO(4) and other Lie groups

Details Invariant metrics with nonnegative curvature on SO(4) and other Lie groups Invariant metrics with nonnegative curvature on SO(4) and other Lie groups

2007-02-09

arxiv.org/abs/math/0702241v1

Mathematics

Differential Geometry

22 pages

Scientific paper

We develop techniques for classifying the nonnegatively curved left-invariant metrics on a compact Lie group G. We prove rigidity theorems for general G and a partial classification for G=SO(4). Our approach is to reduce the general question to an infinitesimal version; namely, to classify the directions one can move away from a fixed bi-invariant metric such that curvature variation formulas predict nearby metrics are nonnnegatively curved.

Affiliated with

Also associated with

No associations

Rating

Invariant metrics with nonnegative curvature on SO(4) and other Lie groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Invariant metrics with nonnegative curvature on SO(4) and other Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant metrics with nonnegative curvature on SO(4) and other Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8301