Parabolicity, Brownian Exit Time and Properness of Solitons of the Direct and Inverse Mean Curvature Flow

We study some potential theoretic properties of homothetic solitons Σ n of the MCF and the IMCF. Using the analysis of the extrinsic distance function defined on these submanifolds in R n + m , we observe similarities and differences in the geometry of solitons in both flows. In particular, we show...

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Veröffentlicht in:	The Journal of Geometric Analysis 2021, Vol.31 (1), p.579-618
Hauptverfasser:	Gimeno, Vicent, Palmer, Vicente
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Brownian motion Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Expanders Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Manifolds (mathematics) Mathematics Mathematics and Statistics Solitary waves Time functions
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