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On a bilinear operator free third order method on Riemannian manifolds

✍ Scribed by Amat, S.; Argyros, I.K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.

Book ID: 123457694
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 314 KB
Volume: 219
Category: Article
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.01.030

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Let M be a smooth manifold endowed with a flat conformal structure and F λ (M) the space of densities of degree λ on M. We study the space D 3 λ,µ (M) of third-order differential operators from F λ (M) to F µ (M) as a module over the conformal Lie algebra o(p + 1, q + 1). We prove that D 3 λ,µ (M) i