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# Minimal Lagrangian isotropic immersions in indefinite complex space forms

## Marilena Moruz KU Leuven

I am interested in the study of minimal isotropic Lagrangian sub manifolds $M^n$ ($n>2$) in indefinite complex space forms. It is known that the dimension of $M^n$ must satisfy $n=3r+2$, with r a positive integer, and for $n<14$ there exists a classification for such submanifolds. In my work I have extended the result for an arbitrary dimension n. Therefore, I have determined all the possible dimensions of $M^n$ and found all the components of the second fundamental form, according to the metric with which $M^n$ is endowed in each case.

Seminario 2ª Planta, IEMath-GR

# Marilena Moruz

## KU Leuven

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Rumania