The volume and lengths on a three sphere

Details The volume and lengths on a three sphere The volume and lengths on a three sphere

2000-03-16

arxiv.org/abs/math/0003102v2

Mathematics

Differential Geometry

The revision improves the main result and simplifies the proof

Scientific paper

We show that the volume of any Riemannian metric on a three sphere is bounded
below by the length of the shortest closed curve that links its antipodal
image. In particular, the volume is bounded below by the minimum of the length
of the shortest closed geodesic and the minimal distance between antipodal
points.

Affiliated with

Also associated with

No associations

Rating

The volume and lengths on a three sphere 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 The volume and lengths on a three sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The volume and lengths on a three sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488361