The Ricci tensor of a gradient Ricci soliton with harmonic Weyl tensor

Valter Borges, Matheus Andrade Ribeiro de Moura Horácio, João Paulo dos Santos

In this article, we give a new proof of a result due to J. Kim, which states that the Ricci tensor of a gradient Ricci soliton with dimension $n\ge 4$ and harmonic Weyl tensor ha…