Second variation for L-minimal Legendrian submanifolds in   pseudo-Sasakian manifolds
  In this paper we provide a second variation formula for L-minimal Lagrangian submanifolds in a pseudo-Sasakian manifold. We apply it to the case of Lorentzian-Sasakian manifolds and relate the L-stability of L-minimal Legendrians in a Sasakian M to their L-stability in an associated Lorentzian-Sasakian structure on M. 
David Petrecca and Lars Sch\"afer
math.DG