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Null pseudo-isotropic Lagrangian surfaces

Volume 150 / 2017

Alfonso Carriazo, Verónica Martín-Molina, Luc Vrancken Colloquium Mathematicum 150 (2017), 87-101 MSC: Primary 53B25; Secondary 53B20. DOI: 10.4064/cm7107s-12-2016 Published online: 1 September 2017

Abstract

We show that a Lagrangian, Lorentzian surface $M^2_1$ in a complex space form $\widetilde{M}^2_1 (4c)$ is pseudo-isotropic if and only if $M$ is minimal. Next we obtain a complete classification of all Lagrangian, Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.

Authors

  • Alfonso CarriazoDepartamento de Geometría y Topología
    Facultad de Matemáticas
    Universidad de Sevilla
    c/ Tarfia s/n
    41012 Sevilla, Spain
    e-mail
  • Verónica Martín-MolinaDepartamento de Didáctica
    de las Matemáticas
    Facultad de Ciencias de la Educación
    Universidad de Sevilla
    c/ Pirotecnia s/n
    41013 Sevilla, Spain
    e-mail
  • Luc VranckenLAMAV, Université de Valenciennes
    59313 Valenciennes Cedex 9, France
    and
    Departement Wiskunde
    KU Leuven
    Celestijnenlaan 200 B
    3001 Leuven, Belgium
    e-mail

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