The Sasaki–Ricci Flow on Sasakian 3-Spheres
Guofang Wang , Yongbing Zhang
Communications in Mathematics and Statistics ›› 2013, Vol. 1 ›› Issue (1) : 43 -71.
The Sasaki–Ricci Flow on Sasakian 3-Spheres
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.
Sasaki–Ricci flow / Sasaki–Ricci soliton / Weighted Sasakian structure
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