@misc{10481/95086,
year = {2024},
month = {4},
url = {https://hdl.handle.net/10481/95086},
abstract = {In this study, we deal with non-degenerate translators of the mean curvature flow in the wellknown
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.},
organization = {Spanish MICINN and ERDF, project PID2020-116126GBI00},
organization = {“Maria de Maeztu” Excellence Unit IMAG, ref. CEX2020-001105-M, funded by
MCIN/AEI/10.13039/501100011033},
organization = {Research Group FQM-324 by the Junta de Andalucía},
organization = {The Scientific and Techological Research Council of Türkiye (TÜB˙ITAK) Grant 2210-A},
publisher = {Dergi Park Akademik},
keywords = {Translator},
keywords = {mean curvature flow},
keywords = {hyperbolic Einstein’s static universe},
title = {Translators of the Mean Curvature Flow in Hyperbolic Einstein’s Static Universe},
doi = {10.36890/iejg.1437356},
author = {Ortega Titos, Miguel and Yalçın, Buse},
}