Homogeneous Ricci solitons are algebraic

DOI10.2140/gt.2014.18.2477zbMath1301.53044arXiv1309.2515OpenAlexW3104729823MaRDI QIDQ463156

Michael Jablonski

Publication date: 16 October 2014

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2515

zbMATH Keywords

Einstein metricRicci solitonalgebraic solitonhomogeneousAlekseevskii conjecture

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

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Cites Work

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• The Ricci flow for simply connected nilmanifolds
• Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
• Moduli of Einstein and non-Einstein nilradicals
• Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons
• Dimensional reduction and the long-time behavior of Ricci flow
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Homogeneous Ricci solitons
• Strongly solvable spaces
• Structure of homogeneous Ricci solitons and the Alekseevskii conjecture
• ON HOMOGENEOUS RICCI SOLITONS
• On gradient Ricci solitons with symmetry
• On homogeneous warped product Einstein metrics
• Ricci soliton homogeneous nilmanifolds

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