The Riemannian manifold of all Riemannian metrics

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dc.creatorGil-Medrano, Olga
dc.creatorMichor, Peter W.
dc.date1992-01-01
dc.date.accessioned2026-07-07T09:14:43Z
dc.date.available2026-07-07T09:14:43Z
dc.descriptionThe space of all Riemannian metrics on a smooth second countable finite dimensional manifold is itself a smooth manifold modeled on the space of symmetric (0,2)-tensor fields with compact support. It carries a canonical Riemannian metric which is invariant under the action of the diffeomorphism group. We determine its geodesics, exponential mapping, curvature, and Jacobi fields in a very explicit manner.
dc.identifierhttps://arxiv.org/abs/math/9201259
dc.identifierhttp://arxiv.org/abs/math/9201259
dc.identifierQuart. J. Math. Oxford Ser. (2) 42 (1991), 183-202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152773
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject58D17 58B20
dc.titleThe Riemannian manifold of all Riemannian metrics
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