Small eigenvalues of the conformal laplacian
- We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes if and only if the manifold has a metric of positive scalar curvature. We show that the invariant does not increase under surgery of codimension at least three and we give lower and upper bounds in terms of the alpha-genus.
| Author details: | Christian BärORCiDGND, Matthias Dahl |
|---|---|
| URL: | http://xxx.uni-augsburg.de/abs/math.DG/0204200 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2003 |
| Publication year: | 2003 |
| Release date: | 2017/03/24 |
| Source: | Geometric and Functional Analysis. - 13 (2003), 3, S. 483 - 508 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
