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 |
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URN: | urn:nbn:de:kobv:517-opus-5627 |
Publication type: | Postprint |
Language: | English |
Publication year: | 2004 |
Publishing institution: | Universität Potsdam |
Release date: | 2005/08/10 |
Tag: | Dirac operators; Global Analysis; Lagrangian submanifolds; Spectral Geometry; Spin Geometry |
Source: | Journal of geometry and physics. - 52 (2004), 4, S. 480 - 498 |
RVK - Regensburg classification: | SK 620 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |