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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...
The description of a graded differential geometry package in REDUCE is given. The procedures are useful in the study of supersymmetric equations. The supersymmetric modified KdV equation is discussed as an application.
A study is made concerning families of consistent Poisson brackets in the setting of completely integrable Hamiltonian systems. A method is presented for verifying completeness of systems of commuting first integrals.
Let E(n) be the lie group of proper rigid motions of Euclidean n-space. The paper is concerned with the adjoint action of E(n) on its Lie algebra e(n), and the induced action on the Grassmannian of subspaces of e(n) of a given dimension. For the adjoint action, the authors list explicit...
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