Classification of superpotentials for cohomogeneity one Ricci solitons

DOI10.1016/j.geomphys.2024.105294MaRDI QIDQ6638263

Qiushi Wang

Publication date: 14 November 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemssuperpotentialscohomogeneity one Ricci solitons

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

• Unnamed Item
• New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
• Classifying superpotentials: three summands case
• On Ricci solitons of cohomogeneity one
• Superpotentials and the cohomogeneity one Einstein equations
• Classification of superpotentials
• Existence and non-existence of homogeneous Einstein metrics
• The initial value problem for cohomogeneity one Einstein metrics
• A Hamiltonian approach to the cohomogeneity one Ricci soliton equations and explicit examples of non-Kähler solitons
• The cohomogeneity one Einstein equations from the Hamiltonian viewpoint

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