On some models in differential geometry
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 122-153
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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 $D$-modules is used. Bibliography: 14 titles.
@article{ZNSL_1993_205_a9,
author = {A. M. Nikitin},
title = {On some models in differential geometry},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {122--153},
year = {1993},
volume = {205},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a9/}
}
A. M. Nikitin. On some models in differential geometry. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 122-153. http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a9/