Lagrangian submanifolds of the complex hyperbolic quadric

24 Feb 2020 Van der Veken Joeri Wijffels Anne

We consider the complex hyperbolic quadric ${Q^*}^n$ as a complex hypersurface of complex anti-de Sitter space. Shape operators of this submanifold give rise to a family of local almost product structures on ${Q^*}^n$, which are then used to define local angle functions on any Lagrangian submanifold of ${Q^*}^n$... (read more)

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  • DIFFERENTIAL GEOMETRY