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

DOI10.3103/S1068362316050010zbMath1357.53077WikidataQ115223226 ScholiaQ115223226MaRDI QIDQ505330

Hajar Ghahremani-Gol, Asadollah Razavi

Publication date: 20 January 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Ricci flowgeodesicsliceRicci solitonpseudo-differential operatorsmanifold of Riemannian metrics

Mathematics Subject Classification ID

Related Items (1)

A new flow on open manifolds: short time existence and uniqueness

Cites Work

• Sobolev metrics on the manifold of all Riemannian metrics
• The completion of the manifold of Riemannian metrics
• The metric geometry of the manifold of Riemannian metrics over a closed manifold
• The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem
• On Ricci solitons of cohomogeneity one
• Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
• The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
• Deforming metrics in the direction of their Ricci tensors
• Three-manifolds with positive Ricci curvature
• Natural weak Riemannian structures on the space of Riemannian metrics
• Geodesic Ricci solitons on unit tangent sphere bundles
• Riemannian geometries on spaces of plane curves
• Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
• Mean curvature flow on Ricci solitons
• The inverse function theorem of Nash and Moser
• THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
• CONFORMAL SIGMA MODELS WITH ANOMALOUS DIMENSIONS AND RICCI SOLITONS
• Harmonic Mappings of Riemannian Manifolds
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