Compact generalized τ-quasi Ricci-harmonic metrics are harmonic-Einstein under several scalar-curvature, integral, and gap conditions.
Cao, Recent progress on Ricci soliton, Adv
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Rigid properties of generalized $\tau$-quasi Ricci-harmonic metrics
Compact generalized τ-quasi Ricci-harmonic metrics are harmonic-Einstein under several scalar-curvature, integral, and gap conditions.