Cobordism of PDE's.
Cobordism of PDE's.
The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2. Cobordism and PDE's) and it is in connection with other papers of the author [Atti VI Conv. Naz. Relatività, Firenze, 1984, Pitagora Ed., Bologna, 289-292 (1986); Geometrodynamics, Proc. Int. Meet., Cosenza 1985, 283-420 (1985; Zbl 0645.58038); Journées Relativistes de Toulouse 1986, Univ. P. Sabatier, Toulouse, 213-222 (1986); Atti IX Congresso AIMETA, Bari, 1988, AIMETA, 13-16 (1988); Differential Geometry and Applications (World Scientific, Singapore), 392-404 (1990); Atti X Congresso AIMETA, Pisa, 1990, AIMETA, 17-24 (1990)].
\(\mathrm{O}\)- and \(\mathrm{SO}\)-cobordism, Differential topology, Partial differential equations on manifolds; differential operators, Pontryagin-Thom construction, Cobordism in PDE's; Higher order structures on manifolds.
\(\mathrm{O}\)- and \(\mathrm{SO}\)-cobordism, Differential topology, Partial differential equations on manifolds; differential operators, Pontryagin-Thom construction, Cobordism in PDE's; Higher order structures on manifolds.
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