The Sasaki–Ricci Flow on Sasakian 3-Spheres

Abstract

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.

Keywords

Sasaki–Ricci flow / Sasaki–Ricci soliton / Weighted Sasakian structure

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