The paper confirms the Hamilton-Tian conjecture for Sasaki-Ricci flow on compact transverse Fano quasi-regular Sasakian 5-manifolds with klt singularities, derives soliton compactness, and extends the result to general transverse Fano Sasakian 5-manifolds via the second Sasakian structure theorem.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Relative volume comparison theorem established under L^p bounds on Bakry-Émery Ricci curvature and potential gradient, applied to monotonicity in Kähler-Ricci flow.
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On the Hamilton-Tian Conjecture in a compact transverse Fano Sasakian $5$-manifold
The paper confirms the Hamilton-Tian conjecture for Sasaki-Ricci flow on compact transverse Fano quasi-regular Sasakian 5-manifolds with klt singularities, derives soliton compactness, and extends the result to general transverse Fano Sasakian 5-manifolds via the second Sasakian structure theorem.
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Weighted volume comparison and monotonicity for $L^p$-bound of Bakry-\'{E}mery Ricci curvature
Relative volume comparison theorem established under L^p bounds on Bakry-Émery Ricci curvature and potential gradient, applied to monotonicity in Kähler-Ricci flow.