The codimension one homology of a complete manifold with nonnegative Ricci curvature

Details The codimension one homology of a complete manifold with nonnegative Ricci curvature The codimension one homology of a complete manifold with nonnegative Ricci curvature

1999-09-02

arxiv.org/abs/math/9909017v2

American Journal of Mathematics, 123(2001), 515-524.

Mathematics

Differential Geometry

Revised Version, 10 pages, 5 figures, Amer. J. Math. (to appear)

Scientific paper

In this paper we prove that a complete noncompact manifold with nonnegative Ricci curvature has a trivial codimension one homology unless it is a split or flat normal bundle over a compact totally geodesic submanifold. In particular, we prove the conjecture that a complete noncompact manifold with positive Ricci curvature has a trivial codimension one integer homology. We also have a corollary stating when the codimension two integer homology of such a manifold is torsion free.

Affiliated with

Also associated with

No associations

Rating

The codimension one homology of a complete manifold with nonnegative Ricci 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 The codimension one homology of a complete manifold with nonnegative Ricci curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The codimension one homology of a complete manifold with nonnegative Ricci curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506940