Lorentzian Isotropic Lagrangian Immersions

Franki Dillen , Luc Vrancken (1)

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

In this note we are interested in isotropic totally real Lorentzian submanifolds of indefinite complex space forms. We show that such submanifolds are always $H$-umbilical warped product immersions and we determine also the warping function.

Domaines: Mathématiques [math]

Franki Dillen, Luc Vrancken. Lorentzian Isotropic Lagrangian Immersions. Filomat, 2016, 30 (10), pp.2857-2867. ⟨10.2298/FIL1610857D⟩. ⟨hal-03148439⟩