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Differential geometrical relations for a class of formal series

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Baranovitch A.

Banach Center Publications

1997

tom 40

nr 1

279-287

An extension of the category of local manifolds is considered. Instead of smooth mappings of neighbourhoods of linear spaces as morphisms we deal with formal operator power series (or formal maps). Analogues of the objects appearing on smooth manifolds and vector bundles (vector fields, sections of a bundle, exterior forms, the de Rham complex, connection, etc.) are considered in this way. All the examinations are carried out in algebraic language, for we do not care about the convergence of formal maps. It may be useful for the investigation of some nonlinear differential equations.

Ograniczanie wyników

1 Banach Center Publications

1 Baranovitch A.

1 1997

Wyniki wyszukiwania

Differential geometrical relations for a class of formal series