Spin structures, spinors and the Dirac operator: real versus complex manifolds

The Dirac operator on Lorentzian spin ma

The Dirac operator on Lorentzian spin manifolds and the Huygens property

✍ Helga Baum 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 954 KB

We consider the Dirac operator D of a Lorentzian spin manifold of even dimension n > 4. We prove that the square D 2 of the Dirac operator on plane wave manifolds and the shifted operator D 2 -K on Lorentzian space forms of constant sectional curvature K are of Huygens type. Furthermore, we study th