Natural weak Riemannian structures on the space of Riemannian metrics

DOI10.1007/BF02104788zbMath0866.58016WikidataQ115392785 ScholiaQ115392785MaRDI QIDQ1920706

Nicolai Konstantinovich Smolentsev

Publication date: 8 July 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

curvature tensorgeodesicssectional curvaturescovariant derivativespace of Riemannian metricsweak Riemannian structure

Mathematics Subject Classification ID

Methods of local Riemannian geometry (53B21) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

The Ricci flow as a geodesic on the manifold of Riemannian metrics

Cites Work

• The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
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