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

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

1996-11-14

arxiv.org/abs/dg-ga/9611005v1

Mathematics

Differential Geometry

22 pages, La-Tex, style <report>. (e-mail: lychagin@glas.apc.org, borkru@difgeo.math.msu.su and before 8th Dec 1996: lychagin@

Scientific paper

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.

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