Complete gradient shrinking Ricci solitons with pinched curvature
classification
🧮 math.DG
keywords
completecurvaturegradientpinchedricciassumeconformallydimensional
read the original abstract
We prove that any $n$--dimensional complete gradient Ricci soliton with pinched Weyl curvature is a finite quotient of $\RR^{n}$, $\RR \times \SS^{n-1}$ or $\SS^{n}$. In particular, we do not need to assume the metric to be locally conformally flat.
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