Some classificational problems in four-dimensional geometry: distributions, almost complex structures and Monge-Ampere equations
dg-ga
2008-02-03 v1 Differential Geometry
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.
Cite
@article{arxiv.dg-ga/9611005,
title = {Some classificational problems in four-dimensional geometry: distributions, almost complex structures and Monge-Ampere equations},
author = {Boris S. Kruglikov},
journal= {arXiv preprint arXiv:dg-ga/9611005},
year = {2008}
}
Comments
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)