Null pseudo-isotropic Lagrangian surfaces

Abstract

Abstract. In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form M 2 1 (4c) is pseudo-isotropic if and only if M is minimal. Next we will obtain a complete classification of all Lagrangian, Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.

Pseudo-Isotropic Centro-Affine Lorentzian Surfaces

“…Such manifolds are called pseudo-isotropic. Pseudo-isotropic Lagrangian surfaces has been studied in [3]. This notion of isotropy can be extended to all bundle valued tensor fields T by saying that T is isotropic if and only if the value of g( T(V, .…”