Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
Lagrangian //-umbilical submanifolds are the "simplest" Lagrangian submanifolds next to totally geodesic ones in complex-space-forms.The class of Lagrangian //-umbilical submanifolds in complex Euclidean spaces includes Whitney's spheres and Lagrangian pseudo-spheres.For each submanifold M of Euclidean «-space and each unit speed curve F in the complex plane, we introduce the notion …