Local existence of Ricci solitons

DOI10.1007/BF02567946zbMath0870.53039OpenAlexW2001796373MaRDI QIDQ1352931

Thomas A. Ivey

Publication date: 20 February 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156221

zbMATH Keywords

exterior differential systemsinvolutivitygeneralized soliton equation

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Exterior differential systems (Cartan theory) (58A15)

Related Items (13)

Some results on conformal geometry of gradient Ricci solitons ⋮ On a dichotomy of the curvature decay of steady Ricci solitons ⋮ Quasi-Einstein manifolds admitting conformal vector fields ⋮ A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons ⋮ A note on locally conformally flat gradient Ricci solitons ⋮ Kählerity of shrinking gradient Ricci solitons asymptotic to Kähler cones ⋮ Biconformal equivalence between 3-dimensional Ricci solitons ⋮ On a classification of 4-d gradient Ricci solitons with harmonic Weyl curvature ⋮ Gradient Ricci solitons admitting a closed conformal vector field ⋮ Gradient shrinking Ricci solitons of half harmonic Weyl curvature ⋮ A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons ⋮ On complete gradient steady Ricci solitons with vanishing 𝐷-tensor ⋮ On four-dimensional anti-self-dual gradient Ricci solitons

Cites Work

• Déformations infinitesimales des espaces riemanniens localement symétriques. I
• Déformations infinitésimales des structures conformes plates. (Infinitesimal deformations of conformally flat structures)
• Four-manifolds with positive curvature operator
• Three-manifolds with positive Ricci curvature
• Interior estimates for elliptic systems of partial differential equations
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