Geometría global de superficies [phi, e3]-mínimas en R3 Martínez Triviño, Antonio Luis Martínez López, Antonio Universidad de Granada. Programa de Doctorado en Matemáticas Geometría R3 Superficies [phi, e3] The goal of this work is to develop a global theory of [phi, ~e3]-minimal surfaces in R3 for a wide family of functions phi. Moreover, the existence of a bijective correspondence between minimal surfaces in R3 and spacelike maximal surfaces in the Lorentz-Minkowski spacetime L3 has motivated us to extend it between [phi, ~e3]-minimal surfaces in R3 and spacelike [phi, ~e3]-maximal surfaces in L3. 2022-07-12T10:34:21Z 2022-07-12T10:34:21Z 2022 2022-06-23 doctoral thesis Martínez Triviño, Antonio Luis. Geometría global de superficies [phi, e3]-mínimas en R3. Granada: Universidad de Granada, 2022. [http://hdl.handle.net/10481/75953] 9788411174169 http://hdl.handle.net/10481/75953 spa http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Universidad de Granada