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Documents  Gover, A. Rod | enregistrements trouvés : 3

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Research talks;Algebraic and Complex Geometry

On conformally compact manifolds of arbitrary signature I will describe a natural boundary calculus for computing the asymptotics of a class of natural boundary problems. This is applied to the non-linear problem of finding, conformally, a conformally compact constant scalar curvature metric on the interior of a manifold with boundary. This problem was studied from a different point of view by Andersson, Chrusciel, Friedrich (ACF) in 1992. They identified a conformal submanifold invariant that obstructs smooth boundary asymptotics for the problem on 3-manifolds (and gave some information on the obstructions in other dimensions). This invariant is the same as that arising from the variation of the Willmore energy. We find higher order submanifold invariants that generalise that curvature quantity found by ACF. This construction also leads to a route for manufacturing large classes of other conformal submanifold invariants. On conformally compact manifolds of arbitrary signature I will describe a natural boundary calculus for computing the asymptotics of a class of natural boundary problems. This is applied to the non-linear problem of finding, conformally, a conformally compact constant scalar curvature metric on the interior of a manifold with boundary. This problem was studied from a different point of view by Andersson, Chrusciel, Friedrich (ACF) in 1992. They ...

53C20 ; 58J05

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- v; 95 p.
ISBN 978-1-4704-1092-6

Memoirs of the american mathematical society , 1106

Localisation : Collection 1er étage

géométrie différentielle # particule # problème aux limites # théorie asymptotique # Q-courbure # application conforme-harmonique # holographie # dispersion # correspondance AdS/CFT

53A30 ; 53B50 ; 53A55 ; 53B15 ; 22E46 ; 53C25

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- v; 81 p.
ISBN 978-1-4704-3544-8

Memoirs of the American Mathematical Society , 1241

Localisation : Collection 1er étage

plongement CR # invariant CR # calcul du tracteur # équation de Gauss-Codazzi-Ricci # théorème de Bonnet

32V05 ; 53B15 ; 32V30 ; 53B25 ; 53A30

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