This work was carried out while the author was a National Science Foundation predoctoral fellow. The author expresses his appreciation to D. C. Spencer for suggesting this problem and for his help and advice in the preparation of this paper. 1 M. P. Gaffney, "The Heat Equation Method of Milgram and Rosenbloom for Open Riemannian Manifolds," Ann. Math. (to appear). 2 D. C. Spencer, "The Heat Equ...

Starting from a relativistic phenomenology of anyons in crystals, we discuss the concept of relativistic interaction and the need to unify electromagnetism and gravitation within the Spencer cohomology of Lie equations. Then, from the sophisticated non-linear Spencer complex of the Poincaré and conformal Lie pseudogroups, we build up a non-linear relative Goldschmidt-Spencer complex assigned to...

The Ecuadorian Agromyzidae described by Theodor Becker from the Mission du service géographique de l'armée pour la mesure d'un arc de méridien équatorial en Amérique du Sud are revised and several taxonomic changes are proposed. The eight named species identified by Becker actually comprise 14 species of Agromyzidae (3 Melanagromyza, 4 Cerodontha, 6 Liriomyza, 1 Nemorimyza) and one species of H...

This paper deals with the determination of displacement function and thermal stresses of a finite length isotropic functionally graded hollow cylinder subjected to uniform temperature field. The solution of the governing thermoelastic equation is obtained, as suggested by Spencer et al. for anisotropic laminates.  Numerical calculations are also carried out for FGM (Functionally graded material...