A brief survey on the Ricci flow in homogeneous manifolds

DOI10.1007/s40863-015-0002-8zbMath1432.53136OpenAlexW633147845WikidataQ110156081 ScholiaQ110156081MaRDI QIDQ497998

Ricardo Miranda Martins, Lino Grama

Publication date: 25 September 2015

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-015-0002-8

zbMATH Keywords

Ricci flowPoincaré compactificationgeneralized flag manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Ricci flows (53E20)

Related Items (1)

Ricci flow on certain homogeneous spaces

Cites Work

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• 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
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• The backward behavior of the Ricci and cross-curvature flows on SL\((2,\mathbb{R})\)
• Existence and non-existence of homogeneous Einstein metrics
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• On curvature properties of Kähler C-spaces
• Three-manifolds with positive Ricci curvature
• Ricci flow of homogeneous manifolds
• The isotropy representation of a real flag manifold: split real forms
• Ricci flow on homogeneous spaces with two isotropy summands
• Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
• Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature
• INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS
• GEOMETRY OF FLAG MANIFOLDS
• Generic Properties of Polynomial Vector Fields at Infinity

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