Isotropic Lagrangian Submanifolds in Complex Euclidean Space and Complex Hyperbolic Space

Abstract.

The notion of isotropic submanifolds of an arbitrary Riemannian manifold was first introduced by B. O’Neill in [12]. In our paper, we give a complete classification of isotropic Lagrangian submanifolds in complex Euclidean space \({\mathbb{C}}^n\) and complex hyperbolic space \({\mathbb{CH}}^n\).