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OverviewThe authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to solutions. They also develop a product formula for solving these asymptotic problems in general. The central tools of their approach are (i) the conformal geometry of differential forms and the associated exterior tractor calculus, and (ii) a generalised notion of scale which encodes the connection between the underlying geometry and its boundary. The latter also controls the breaking of conformal invariance in a very strict way by coupling conformally invariant equations to the scale tractor associated with the generalised scale. Full Product DetailsAuthor: A. Rod Gover , Emanuele Latini , Andrew WaldronPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 235/1106 Weight: 0.172kg ISBN: 9781470410926ISBN 10: 1470410923 Pages: 85 Publication Date: 30 May 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Bulk conformal geometry and extension problems Tractor exterior calculus The exterior calculus of scale Higher form Proca equations Obstructions, detours, gauge operators and $Q$-curvature Appendx A. The ambient manifold Appendix B. List of common symbols BibliographyReviewsAuthor InformationA. Rod Gover, University of Auckland, New Zealand. Emanuele Latini, Laboratori Nazinali di Frascati LNF, Italy. Andrew Waldron, University of California, Davis, CA, USA. Tab Content 6Author Website:Countries AvailableAll regions |
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