Sufficient conditions for triviality of Ricci solitons

We found conditions on an $ n $-dimensional Ricci soliton $ \left(M, g, \mathbf{u}, \lambda \right) $ to be trivial. First, we showed that under an appropriate upper bound on the squared length of the covariant derivative of the potential field $ \mathbf{u} $, the Ricci soliton $ \left(M, g, \mathbf...

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Bibliographic Details
Main Authors: Nasser Bin Turki, Sharief Deshmukh
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024066?viewType=HTML