Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature

Details Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature

1998-04-21

arxiv.org/abs/math/9804096v2

Mathematics

Differential Geometry

amstex, 7 pages, revised, to appear in Commun. in Anal. and Geom

Scientific paper

The following version of a conjecture of Fischer-Colbrie and Schoen is
proved: If M is a complete Riemannian 3-manifold with nonnegative scalar
curvature which contains a two-sided torus S which is of least area in its
isotopy class then M is flat. This follows from a local version derived in the
paper.

Affiliated with

Also associated with

No associations

Rating

Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature 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 Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-130668