Outermost apparent horizons diffeomorphic to unit normal bundles

• Given a submanifold S subset of R-n of codimension at. least three, we construct an asymptotically Euclidean Riemannian metric on R-n with nonnegative scalar curvature for which the outermost apparent horizon is diffeomorphic to the unit normal bundle of S.

Ämnesord

NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)

Nyckelord

asymptotically Euclidean manifolds

nonnegative scalar curvature

outermost apparent horizons

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