Nikitin, A. M. On some models in differential geometry. (Russian. English summary) Zbl 0813.46067 Zap. Nauchn. Semin. POMI 205, 122-153 (1993). Summary: Some variants of axiomatics of algebras of “vector fields” in models of non-commutative differential geometry are considered. In the case of a commutative model (the De Rham complex) a matrix analogue of the Kadomtsev-Petviashvili hierarchy is constructed. The corresponding Sato system is presented. The method of deformations of \({\mathcal D}\)-modules is used. Cited in 1 Review MSC: 46L87 Noncommutative differential geometry 55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory Keywords:models of non-commutative differential geometry; De Rham complex; matrix analogue of the Kadomtsev-Petviashvili hierarchy; deformations of \({\mathcal D}\)-modules PDFBibTeX XMLCite \textit{A. M. Nikitin}, Zap. Nauchn. Semin. POMI 205, 122--153 (1993; Zbl 0813.46067) Full Text: EuDML