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arXiv · 2403.15166

Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe

Miguel Ortega·Buse Yalçın
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Abstract

In this study, we deal with non-degenerate translators of the mean curvature flow in the well-known hyperbolic Einstein's static universe. We classify translators foliated by horospheres and rotationally invariant ones, both space-like and time-like. For space-like translators, we show a uniqueness theorem as well as a result to extend an isometry of the boundary of the domain to the whole translator, under simple conditions. As an application, we obtain a characterization of the the bowl when the boundary is a ball, and of certain translators foliated by horospheres whose boundary is a rectangle.

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Miguel Ortega, Buse Yalçın. 2024-03-22. Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe. https://doi.org/10.36890/iejg.1437356

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