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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152182In 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: lychagin@glas.apc.org, borkru@difgeo.math.msu.su and before 8th Dec 1996: lychagin@math.uit.no)Differential GeometrySome classificational problems in four-dimensional geometry: distributions, almost complex structures and Monge-Ampere equationstext