Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces

In [2], B. Y. Chen proved that the Lagrangian H-umbilical submanifolds in complex Euclidean space Cⁿ are Lagrangian pseudospheres and complex extensors of the unit hypersphere of Eⁿ, except the flat ones. Similar to this, we can define the Lagrangian H-umbilical submanifold in quatemion space forms. The main purpose of this paper is to classify the Lagrangian H-umbilical submanifolds in quatemion Euclidean space Hⁿ.