The structure of translating surfaces with finite total curvature
نویسندگان
چکیده
Abstract In this paper, we prove that any mean curvature flow translator $$\Sigma ^2 \subset {\mathbb {R}}^3$$ ? 2 ? R 3 with finite total and one end must be a plane. We also if the $$ has multiple ends, they are asymptotic to plane $$\Pi ? containing direction of translation can written as graphs over . Finally, determine ends strongly obtain quantitative estimates for their behavior.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2023
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-023-02441-6