The completion of the manifold of Riemannian metrics

DOI10.4310/jdg/1361800866zbMath1284.58005arXiv0904.0177OpenAlexW1569045298WikidataQ115169700 ScholiaQ115169700MaRDI QIDQ360070

Brian Clarke

Publication date: 26 August 2013

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0177

Mathematics Subject Classification ID

Manifolds of metrics (especially Riemannian) (58D17)

Related Items (12)

Geometry of matrix decompositions seen through optimal transport and information geometry ⋮ The 𝐿²-completion of the space of Riemannian metrics is CAT(0): A shorter proof ⋮ The metric geometry of the manifold of Riemannian metrics over a closed manifold ⋮ Geodesics, distance, and the \(\mathrm{CAT}(0)\) property for the manifold of Riemannian metrics ⋮ Weak topology on CAT(0) spaces ⋮ The metric completion of the space of vector-valued one-forms ⋮ Conformal deformations of the Ebin metric and a generalized Calabi metric on the space of Riemannian metrics ⋮ Tian’s Properness Conjectures:An Introduction to Kähler Geometry ⋮ The Ricci flow as a geodesic on the manifold of Riemannian metrics ⋮ Overview of the geometries of shape spaces and diffeomorphism groups ⋮ Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics ⋮ Conformal transformations of the pseudo‐Riemannian metric of a homogeneous pair

This page was built for publication: The completion of the manifold of Riemannian metrics