Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899333 | Reports on Mathematical Physics | 2008 | 10 Pages |
Abstract
Earlier we presented a decomposition of a vector field on Euclidean space as a sum of a gradient field and a field orthogonal to the radius vector. In this paper we construct an analogous decomposition for vector fields on a Riemannian manifold of nonpositive curvature.Application to nonlinear mechanics and irreversible thermodynamics is proposed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics