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Conformal Operators on Forms and Detour Complexes on Einstein Manifolds

✍ Scribed by A. Rod Gover; Josef Šilhan


Publisher
Springer
Year
2008
Tongue
English
Weight
397 KB
Volume
284
Category
Article
ISSN
0010-3616

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Electromagnetism, metric deformations, e
✍ Thomas Branson; A.Rod Gover 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 206 KB

On pseudo-Riemannian conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. This recovers an invariant gauge operator due to Eastwood and Singer. We show that, in the case of Riemannian signature, the extension is in an appropriate sense injectively ellip