Remarks on mean curvature flow solitons in warped products
arXiv:1811.10968 · doi:10.3934/dcdss.2020153
Abstract
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.
36 pages. This paper differs from the published one since the proof of Theorem 3.4 (Thm. C in the Introduction) was rewritten. Package axessibility added to make the paper available to visually impaired people. Last version: some further detail added in the proof of Theorem 3.4