arXiv subjects

M. Zhitomirskii

Publications and source records attributed to M. Zhitomirskii.

2 recordsLinked to original sources

arXiv2012

Generic singularities of symplectic and quasi-symplectic immersions

For any k<2n we construct a complete system of invariants in the problem of classifying singularities of immersed k-dimensional submanifolds of a symplectic 2n-manifold at a generic double point.

math.SG↗

arXiv1998

Singularities and bifurcations of 3-dimensional Poisson structure

We give a normal form for families of 3-dimensional Poisson structures. This allows us to classify singularities with nonzero 1-jet and typical bifurcations. The Appendix contains corollaries on classification of families of integrable 1-forms on $R^3

math.DG↗