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July  2020, 13(7): 1957-1991. doi: 10.3934/dcdss.2020153

## Remarks on mean curvature flow solitons in warped products

 1 Dipartimento di Matematica, Università degli Studi di Milano, via Cesare Saldini, 50, Milano, 20133, Italy 2 Scuola Normale Superiore, Piazza dei Cavalieri, 7, Pisa, 56124, Italy 3 Dipartimento di Matematica, Università degli Studi di Milano, via Cesare Saldini, 50, Milano, 20133, Italy

* Corresponding author

Dedicated to Patrizia Pucci on her 65th birthday

Received  May 2018 Revised  December 2018 Published  November 2019

We study some properties of mean curvature flow solitons in general Riemannian manifolds and in warped products, with emphasis on constant curvature and Schwarzschild type spaces. We focus on splitting and rigidity results under various geometric conditions, ranging from the stability of the soliton to the fact that the image of its Gauss map be contained in suitable regions of the sphere. We also investigate the case of entire graphs.

Citation: Giulio Colombo, Luciano Mari, Marco Rigoli. Remarks on mean curvature flow solitons in warped products. Discrete & Continuous Dynamical Systems - S, 2020, 13 (7) : 1957-1991. doi: 10.3934/dcdss.2020153
##### References:

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