A Converse to a Theorem on Normal Forms of Volume Forms with Respect to a Hypersurface
Symplectic Geometry
2014-06-03 v1
Abstract
In this note we give a positive answer to a question asked by Y. Colin de Verdi\`ere concerning the converse of the following theorem, due to A. N. Varchenko: two germs of volume forms are equivalent with respect to diffeomorphisms preserving a germ of an isolated hypersurface singularity, if their difference is the differential of a form whose restriction on the smooth part of the hypersurface is exact.
Cite
@article{arxiv.1406.0092,
title = {A Converse to a Theorem on Normal Forms of Volume Forms with Respect to a Hypersurface},
author = {Konstantinos Kourliouros},
journal= {arXiv preprint arXiv:1406.0092},
year = {2014}
}