The Ricci flow in a class of solvmanifolds

DOI10.1016/j.difgeo.2013.04.002zbMath1279.53061arXiv1211.3605OpenAlexW1997283129WikidataQ115356596 ScholiaQ115356596MaRDI QIDQ385745

Romina M. Arroyo

Publication date: 11 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3605

Mathematics Subject Classification ID

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

Related Items

Generalized Ricci flow on nilpotent Lie groups, The Search for Solitons on Homogeneous Spaces, Immortal homogeneous Ricci flows, Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups, On homogeneous closed gradient Laplacian solitons, Distinguished $$G_2$$-Structures on Solvmanifolds, Positive Hermitian curvature flow on nilpotent and almost-abelian complex Lie groups, Explicit soliton for the Laplacian co-flow on a solvmanifold, The Ricci flow on solvmanifolds of real type, Optimal Curvature Estimates for Homogeneous Ricci Flows, Weyl-Einstein structures on conformal solvmanifolds

Cites Work

• Unnamed Item
• The Ricci flow for simply connected nilmanifolds
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Curvatures of left invariant metrics on Lie groups
• Ricci flow of homogeneous manifolds
• On homogeneous manifolds of negative curvature
• Ricci soliton solvmanifolds
• Convergence of homogeneous manifolds
• Proof of the gradient conjecture of R. Thom.