# Globally minimal homogeneous subspaces in compact homogeneous sympletic spaces

Research paper by LeHong Van

Indexed on: 01 Sep '91Published on: 01 Sep '91Published in: Acta Applicandae Mathematicae

#### Abstract

It is a general problem to describe and classify the globally minimal surfaces in homogeneous spaces. The present paper studies and answers the following problem: When is a homogeneous subspace whose isometry group is one of the classical groups, a globally minimal submanifold in a regular orbit of the adjoint representation of a classical group?