The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow

DOI10.1007/s10455-016-9502-8zbMath1347.53040arXiv1509.09263OpenAlexW3102935218WikidataQ115384573 ScholiaQ115384573MaRDI QIDQ303660

Nurlan Abievich Abiev, Yurii Gennadyevich Nikonorov

Publication date: 22 August 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09263

zbMATH Keywords

Riemannian metricscalar curvatureRicci curvaturesingular pointsectional curvatureRicci flowplanar dynamical systemgeneralized Wallach spaceWallach space

Mathematics Subject Classification ID

Related Items (10)

The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow ⋮ Ricci flow on certain homogeneous spaces ⋮ On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow ⋮ Ricci iteration on homogeneous spaces ⋮ Variational aspects of homogeneous geodesics on generalized flag manifolds and applications ⋮ On the stability of harmonic maps under the homogeneous Ricci flow ⋮ Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces ⋮ Optimal Curvature Estimates for Homogeneous Ricci Flows ⋮ Ricci flow does not preserve positive sectional curvature in dimension four ⋮ Ancient solutions of the homogeneous Ricci flow on flag manifolds

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