Scalar curvature along Ebin geodesics

07.11.2024, 16:15 Uhr  –  Raum 0.14
Forschungsseminar Differentialgeometrie

Christoph Böhm (Münster)

Let be a smooth, compact manifold and let  denote the set of Riemannian metrics on with a fixed smooth volume density of volume 1. For any  , we show that if then there exists an open and dense subset   so that, for each the Ebin geodesic   with and satisfies , uniformly on , where denotes scalar curvature.

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