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Filomat 2016 Volume 30, Issue 10, Pages: 2857-2867
https://doi.org/10.2298/FIL1610857D
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Lorentzian isotropic Lagrangian immersions

Dillen Franki (Katholieke Universiteit Leuven, Departement Wiskunde, Leuven, Belgium)
Vrancken Luc (Katholieke Universiteit Leuven, Departement Wiskunde, Leuven, Belgium + UVHC, LAMAV, Valenciennes, France)

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.

Keywords: Lagrangian submanifold, complex projective space, warped product, isotropic submanifold, Lorentzian submanifold