RIGIDITY OF GRADIENT SHRINKING AND EXPANDING RICCI SOLITONS
RIGIDITY OF GRADIENT SHRINKING AND EXPANDING RICCI SOLITONS
In this paper, we prove that a gradient shrinking Ricci soliton is rigid if the radial curvature vanishes and the second order divergence of Bach tensor is non-positive. Moreover, we show that a complete non-compact gradient expanding Ricci soliton is rigid if the radial curvature vanishes, the Ricci curvature is …