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arXiv · 0905.2868

Remarks on non-compact gradient Ricci solitons

Stefano Pigola·Michele Rimoldi·Alberto G. Setti
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Abstract

In this paper we show how techniques coming from stochastic analysis, such as stochastic completeness (in the form of the weak maximum principle at infinity), parabolicity and $L^p$-Liouville type results for the weighted Laplacian associated to the potential may be used to obtain triviality, rigidity results, and scalar curvature estimates for gradient Ricci solitons under $L^p$ conditions on the relevant quantities.

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Stefano Pigola, Michele Rimoldi, Alberto G. Setti. 2009-10-23. Remarks on non-compact gradient Ricci solitons. https://arxiv.org/abs/0905.2868

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