Two weak Riemannian structures on the space of Riemannian metrics

zbMath0837.58007MaRDI QIDQ1896727

Nicolai Konstantinovich Smolentsev

Publication date: 6 November 1995

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

curvature tensorgeodesicssectional curvaturecovariant derivativespace of Riemannian matricsstructure of a Fréchet manifoldweak Riemannian structures

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22) Manifolds of metrics (especially Riemannian) (58D17)

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