@misc{10481/110061, year = {2023}, month = {10}, url = {https://hdl.handle.net/10481/110061}, abstract = {A spacelike surface in Minkowski space R31 is called a Kα-translator of the flow by the powers of Gauss curvature if satisfies Kα=⟨N,⃗v⟩, α≠0, where K is the Gauss curvature, N is the unit normal vector field and ⃗v is a direction of R31. In this paper, we classify all rotational Kα-translators. This classification will depend on the causal character of the rotation axis. Although the theory of the Kα-flow holds for spacelike surfaces, the equation describing Kα-translators is still valid for timelike surfaces. So we also investigate the timelike rotational surfaces that satisfy the same prescribing Gauss curvature equation.}, organization = {Junta de Andalucía (FQM 325)}, organization = {State Research Agency (AEI) PID2020-117868GB-I00}, organization = {MCINN/AEI/10.13039/501100011033/CEX2020-001105-M “María de Maeztu”}, publisher = {Project Euclid, Duke University Press initiatve}, keywords = {Minkowski space}, keywords = {Kα-translator}, keywords = {Surface of revolution}, title = {Rotational K^alpha-translators in Minkowski space}, doi = {10.11650/tjm/230602}, author = {Aydin, Muhittin Evren and López Camino, Rafael}, }