Symmetries of Eschenburg spaces and the Chern problem

Details Symmetries of Eschenburg spaces and the Chern problem Symmetries of Eschenburg spaces and the Chern problem

2006-05-03

arxiv.org/abs/math/0605079v1

Mathematics

Differential Geometry

15 pages

Scientific paper

The known manifolds of positive sectional curvature are either homogeneous spaces or biquotients, i.e. quotients of a compact Lie group by a group acting on the left and right simultaneously. The full isometry group of the homogeneous metrics of positive curvature were determined by K.Shankar. Here we determine the isometry group of some of the biquotients due to Eschenburg and Bazaikin. As an application we obtain, as in the homogeneous case, more counterexamples to the Chern conjecture, which states that an abelian subgroup of the fundamental group of a positively curved manifold is cyclic.

Affiliated with

Also associated with

No associations

Rating

Symmetries of Eschenburg spaces and the Chern problem 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 Symmetries of Eschenburg spaces and the Chern problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries of Eschenburg spaces and the Chern problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307400