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

  1. Martínez Triviño, Antonio Luis
Dirigida por:
  1. Antonio Martínez López Director

Universidad de defensa: Universidad de Granada

Fecha de defensa: 23 de junio de 2022

Tribunal:
  1. José Antonio Gálvez López Presidente
  2. María Magdalena Rodríguez Pérez Secretaria
  3. Jose Maria Espinar Garcia Vocal
  4. Isabel Fernández Delgado Vocal
  5. Barbara Nelli Vocal
Departamento:
  1. GEOMETRÍA Y TOPOLOGÍA

Tipo: Tesis

Resumen

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.