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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.
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...
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.
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...
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