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math.DG2016
Bochner type formulas for the Weyl tensor on four dimensional Einstein manifolds
Giovanni Catino, Paolo Mastrolia
The very definition of an Einstein metric implies that all its geometry is encoded in the Weyl tensor. With this in mind, in this paper we derive higher-order Bochner type formulas…
math.DG2016
Gradient Ricci solitons with vanishing conditions on Weyl
Giovanni Catino, Paolo Mastrolia, Dario Daniele Monticelli
We classify complete gradient Ricci solitons satisfying a fourth-order vanishing condition on the Weyl tensor, improving previously known results. More precisely, we show that any…