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Rigidity results and topology at infinity of translating solitons of the mean curvature flow

Università degli Studi di Milano Bicocca, Dipartimento di Matematica e Applicazioni, via Cozzi 55, I-20125 Milano, Italy

E-mail Address: [email protected]

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Michele Rimoldi

Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS (UMR 7539), 99, Avenue Jean-Baptiste Clément, F-93430 Villetaneuse, France

E-mail Address: [email protected]

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https://doi.org/10.1142/S021919971750002XCited by:15 (Source: Crossref)

Abstract

In this paper, we obtain rigidity results and obstructions on the topology at infinity of translating solitons of the mean curvature flow in the Euclidean space. Our approach relies on the theory of $f$ -minimal hypersurfaces.

Keywords:

AMSC: 53C42, 53C44, 53C21

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