GRADIENT ALMOST RICCI SOLITONS WITH VANISHING CONDITIONS ON WEYL TENSOR AND BACH TENSOR

DOI10.4134/JKMS.J190201zbMath1439.53045OpenAlexW3113579306MaRDI QIDQ5108953

Jinseok Co, Seungsu Hwang

Publication date: 6 May 2020

Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO202012941165981.pdf

zbMATH Keywords

conformally flatharmonic Weyl curvaturegradient almost Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11)

Cites Work

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• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• On complete gradient shrinking Ricci solitons
• Rigidity of shrinking Ricci solitons
• Strong uniqueness of the Ricci flow
• On gradient Ricci solitons
• On Bach-flat gradient shrinking Ricci solitons
• Gradient Ricci solitons with vanishing conditions on Weyl
• Bach-flat \(h\)-almost gradient Ricci solitons
• Bach-flat gradient steady Ricci solitons
• Some characterizations for compact almost Ricci solitons
• Ricci almost solitons
• Ridigity of Ricci solitons with weakly harmonic Weyl tensors
• On locally conformally flat gradient steady Ricci solitons

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