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

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

International Electronic Journal of Geometry
Volume:17 Issue:1
Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe

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

Authors : Miguel Ortega, Buse Yalçın

Pages : 157-170

Doi:10.36890/iejg.1437356

View : 86 | Download : 74

Publication Date : 2024-04-23

Article Type : Research Paper

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.
Keywords : Translator, mean curvature flow, hyperbolic Einstein, horospheres, rotationally invariant, hyperbolic space, elliptic PDEs

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.