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PoincaÔre-Einstein Holography for Forms Via Conformal Geometry in the Bulk

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PoincaÔre-Einstein Holography for Forms Via Conformal Geometry in the Bulk Synopsis

The 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.

About This Edition

ISBN: 9781470410926
Publication date:
Author: A Rod Gover, Emanuele Latini, Andrew Waldron
Publisher: American Mathematical Society
Format: Paperback
Pagination: 95 pages
Series: Memoirs of the American Mathematical Society
Genres: Geometry
Topology