Ancient solutions of the homogeneous Ricci flow on flag manifolds

DOI10.17398/2605-5686.36.1.99zbMath1489.53130arXiv2009.05985OpenAlexW3175628861MaRDI QIDQ5012881

Ioannis Chrysikos, Stavros Anastassiou

Publication date: 26 November 2021

Published in: Extracta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05985

zbMATH Keywords

homogeneous spacesscalar curvatureRicci flowflag manifoldsancient solutions

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Dynamics induced by flows and semiflows (37C10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Ricci flows (53E20)

Related Items (2)

Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces ⋮ The projected homogeneous Ricci flow and its collapses with an application to flag manifolds

Cites Work

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• Scalar curvature behavior of homogeneous Ricci flows
• The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow
• The classification of homogeneous Einstein metrics on flag manifolds with \(b_2(M) = 1\)
• The Ricci flow for simply connected nilmanifolds
• On type-I singularities in Ricci flow
• On the first eigenvalue of invariant Kähler metrics
• The Ricci flow approach to homogeneous Einstein metrics on flag manifolds
• Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands
• The Ricci flow of left-invariant metrics on full flag manifold \(SU(3)/T\) from a dynamical systems point of view
• Strong uniqueness of the Ricci flow
• Invariant Einstein metrics on flag manifolds with four isotropy summands
• On the long time behavior of homogeneous Ricci flows
• Geometry of homogeneous Riemannian manifolds
• The Ricci flow for nilmanifolds
• Existence and non-existence of homogeneous Einstein metrics
• Invariant Kähler-Einstein metrics on compact homogeneous spaces
• Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Invariant Einstein metrics on certain homogeneous spaces
• New examples of homogeneous Einstein metrics
• Immortal homogeneous Ricci flows
• A variational approach for compact homogeneous Einstein manifolds
• Three-manifolds with positive Ricci curvature
• Flag manifolds, symmetric \(\mathfrak t\)-triples and Einstein metrics
• Ricci flow of homogeneous manifolds
• Homogeneous Einstein metrics on flag manifolds
• Spin structures on compact homogeneous pseudo-Riemannian manifolds
• Ancient solutions of the Ricci flow on bundles
• Uniqueness of the Ricci flow on complete noncompact manifolds
• On the compactness of the set of invariant Einstein metrics
• Ricci flow on homogeneous spaces with two isotropy summands
• Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
• Homogeneous Einstein metrics and simplicial complexes
• Structure of homogeneous Ricci solitons and the Alekseevskii conjecture
• ON HOMOGENEOUS RICCI SOLITONS
• INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS
• Backwards Uniqueness for the Ricci Flow
• Ricci soliton solvmanifolds
• Introduction to Toric Varieties. (AM-131)
• Characteristic Classes and Homogeneous Spaces, I
• ON THE NUMBER OF INVARIANT EINSTEIN METRICS ON A COMPACT HOMOGENEOUS SPACE, NEWTON POLYTOPES AND CONTRACTIONS OF LIE ALGEBRAS
• Ricci iteration on homogeneous spaces
• Lie Groups and Geometric Aspects of Isometric Actions
• Generic Properties of Polynomial Vector Fields at Infinity
• Optimal Curvature Estimates for Homogeneous Ricci Flows

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