The Sasaki-Ricci flow on Sasakian 3-spheres
classification
🧮 math.DG
keywords
sasakiansasaki-ricciflowgradientsolitonsphereconvergescurvature
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We show that on a Sasakian 3-sphere the Sasaki-Ricci flow initiating from a Sasakian metric of positive transverse scalar curvature converges to a gradient Sasaki- Ricci soliton. We also show the existence and uniqueness of gradient Sasaki-Ricci soliton on each Sasakian 3-sphere.
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