Abstract
For conformally flat Riemannian manifolds of dimension n ≥ 3 ,we describe an explicit resolution of the sheaf Θc of conformal Killing vector fields which is formally self-adjoint, and we deduce a duality theorem for the cohomology of X with values inΘc.
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References
J. Gasqui, H. Goldschmidt, Théorēmes de dualité en géométrie conforme, C. R. Acad. Sci. Paris, vol. 294, Série I, (1982), 99–102; 201–203.
J. Gasqui, H. Goldschmidt, Déformations infinitésimales des structures conformes plates. I (to appear).
J. Gasqui, H. Goldschmidt, Déformations infinitésimales des structures conformes plates. II (to appear).
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© 1983 Springer-Verlag
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Goldschmidt, H. (1983). Duality theorems in conformal geometry. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_2
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DOI: https://doi.org/10.1007/3-540-12291-5_2
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Online ISBN: 978-3-540-39621-5
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