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Presnov, E., The Volcani Center, 85280 Gilat, Israel
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. © 2008 Polish Scientific Publishers PWN, Warszawa.
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Global decomposition of vector field on Riemannian manifolds along natural coordinates
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Presnov, E., The Volcani Center, 85280 Gilat, Israel
Global decomposition of vector field on Riemannian manifolds along natural coordinates
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. © 2008 Polish Scientific Publishers PWN, Warszawa.
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