Some classificational problems in four-dimensional geometry: distributions, almost complex structures and Monge-Ampere equations

Abstract

In this paper we consider three deeply connected classificational problems on four-dimensional manifolds. First we consider and describe locally regular distributions. Second we give a classification of almost complex structures of general position in terms of distributions. Finally we classify nondegenerate Monge-Ampere equations with two variables in terms of e-structures.

22 pages, La-Tex, style <report>. (e-mail: [email protected], [email protected] and before 8th Dec 1996: [email protected])

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