@misc{10481/103087,
year = {2025},
month = {2},
url = {https://hdl.handle.net/10481/103087},
abstract = {Translators in the special linear group are surfaces whose mean curvature H and unit normal vector N satisfy , where X is a fixed Killing vector field. In this paper we study and classify those translators that are invariant by a one-parameter group of isometries. By the Iwasawa decomposition, there are three types of such groups. The dimension of the Killing vector fields is 4 and an exhaustive discussion is done for each one of the Killing vector fields and each of the invariant surfaces. In some cases, explicit parametrizations of translators are obtained.},
organization = {Funding for open access publishing: Universidad de Granada/CBUA},
organization = {Partially supported by MINECO/MICINN/
FEDER grant no. PID2023-150727NB-I00},
organization = {“María de Maeztu” Excellence
Unit IMAG, reference CEX2020-001105- M, funded by MCINN/AEI/
10.13039/ 501100011033/ CEX2020-001105-M},
organization = {Romanian Ministry of Research, Innovation and Digitization, within
Program 1—Development of the national RD system, Subprogram 1.2—
Institutional Performance—RDI excellence funding projects, Contract
no.11PFE/30.12.2021},
publisher = {Springer Nature},
keywords = {Mean curvature flow},
keywords = {Translator},
keywords = {Iwasawa decomposition},
title = {Translators of the Mean Curvature Flow in the Special Linear Group SL(2, R)},
doi = {10.1007/s00025-025-02376-8},
author = {López Camino, Rafael and Munteanu, Marian Ioan},
}