On the zero-in-the-spectrum conjecture

Details On the zero-in-the-spectrum conjecture On the zero-in-the-spectrum conjecture

1999-11-11

arxiv.org/abs/math/9911077v1

Mathematics

Differential Geometry

13 pages

Scientific paper

We prove that the answer to the "zero-in-the-spectrum" conjecture, in its
form, suggested by J. Lott, is negative. Namely, we show that for any n > 5
there exists a closed n-dimensional manifold M, so that zero does not belong to
the spectrum of the Laplace-Beltrami operator acting on the L^2 forms of all
degrees on the universal covering of M.

Affiliated with

Also associated with

No associations

Rating

On the zero-in-the-spectrum conjecture 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 On the zero-in-the-spectrum conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the zero-in-the-spectrum conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-587286