On a foliated Riemannian manifold with a transverse spin structure, we give a lower bound for the square of the eigenvalues of the transversal Dirac operator. We prove, in the limiting case, that the foliation is a minimal, transversally Einsteinian with constant transversal scalar curvature.
The index of the pseudo-Riemannian Dirac operator as a transversally elliptic operator
โ Scribed by Baum Helga
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 337 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0232-704X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given a commuting d-tuple T ยฏ=(T 1 , ..., T d ) of otherwise arbitrary operators on a Hilbert space, there is an associated Dirac operator D T ยฏ. Significant attributes of the d-tuple are best expressed in terms of D T ยฏ, including the Taylor spectrum and the notion of Fredholmness. In fact, all pro
We propose an analytical approach to the index theory of pseudo-differential operators on a manifold with edges. It results in an intermediate algebraic index formula. The latter permits much more freedom in homotopies and, in particular, can be transformed to the topological formula.