Geometría global de superficies [phi, e3]-mínimas en R3

  1. Martínez Triviño, Antonio Luis
Supervised by:
  1. Antonio Martínez López Director

Defence university: Universidad de Granada

Fecha de defensa: 23 June 2022

Committee:
  1. José Antonio Gálvez López Chair
  2. María Magdalena Rodríguez Pérez Secretary
  3. Jose Maria Espinar Garcia Committee member
  4. Isabel Fernández Delgado Committee member
  5. Barbara Nelli Committee member
Department:
  1. GEOMETRÍA Y TOPOLOGÍA

Type: Thesis

Teseo: 724455 DIALNET lock_openDIGIBUG editor

Abstract

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.