Remarks on Cotton solitons

DOI10.1007/S11005-024-01840-WMaRDI QIDQ6606275

Rahul Poddar

Publication date: 16 September 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Killing vector fieldsinfinitesimal harmonic transformationslocally conformally flat metricsCotton solitons

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• A note on Ricci solitons
• Geometry of infinitesimal harmonic transformations
• On non-compact Cotton solitons
• A maximum principle at infinity with applications to geometric vector fields
• Ricci almost solitons satisfying certain conditions on the potential vector field
• Homogeneous Cotton solitons
• Topologically massive gravity and Ricci–Cotton flow
• A note on compact Cotton solitons
• Chern–Simons theory and three-dimensional surfaces
• Cotton flow
• Classification of solutions in topologically massive gravity
• The Cotton tensor in Riemannian spacetimes

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