Dirac operators on Lagrangian submanifolds
- We study a natural Dirac operator on a Lagrangian submanifold of a Kähler manifold. We first show that its square coincides with the Hodge-de Rham Laplacian provided the complex structure identifies the Spin structures of the tangent and normal bundles of the submanifold. We then give extrinsic estimates for the eigenvalues of that operator and discuss some examples.
| Author details: | Nicolas Ginoux |
|---|---|
| URL: | http://users.math.uni-potsdam.de/~ginoux/SousvLagr_v4.pdf |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2004 |
| Publication year: | 2004 |
| Release date: | 2017/03/24 |
| Source: | Journal of geometry and physics. - 52 (2004), 4, S. 480 - 498 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
