Orbifold fibrations of Eschenburg spaces

Details Orbifold fibrations of Eschenburg spaces Orbifold fibrations of Eschenburg spaces

2006-08-30

arxiv.org/abs/math/0608745v1

Mathematics

Differential Geometry

17 pages

Scientific paper

We study isometric circle actions on 7 dimensional positively curved Eschenburg spaces which are almost free, thus giving rise to orbifold fibrations of these spaces. This shows in particular that every known example of compact manifolds with positive sectional curvature is the total space of an orbifold fibration. We then study in detail the geometry of the singular locus and how to minimize it. As a consequence we obtain, for example, a six dimensional compact positively curved orbifold with only two singular points with orbifold groups Z_2.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-74500