Normally hyperbolic operators, the Huygens property and conformal geometry. (English) Zbl 0928.58037
The authors give a review on normally hyperbolic operators of Huygens type. The methods to determine Huygens operators we explain here were essentially influenced and developed by Paul Günther.
Contents: 1. Introduction. 2. Riesz distributions. 3. Normally hyperbolic operators. 4. Huygens operators. 5. Conformal gauge invariance of Huygens operators. 6. The moments of normally hyperbolic operators. 7. Applications.
Contents: 1. Introduction. 2. Riesz distributions. 3. Normally hyperbolic operators. 4. Huygens operators. 5. Conformal gauge invariance of Huygens operators. 6. The moments of normally hyperbolic operators. 7. Applications.
MSC:
| 58J90 | Applications of PDEs on manifolds |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 58-02 | Research exposition (monographs, survey articles) pertaining to global analysis |
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