On the Volume Elements of a Manifold with Transverse Zeroes

@article{Cardona2018OnTV,
  title={On the Volume Elements of a Manifold with Transverse Zeroes},
  author={Robert Cardona and Eva Miranda},
  journal={Regular and Chaotic Dynamics},
  year={2018},
  volume={24},
  pages={187-197}
}
Moser proved in 1965 in his seminal paper [15] that two volume forms on a compact manifold can be conjugated by a diffeomorphism, that is to say they are equivalent, if and only if their associated cohomology classes in the top cohomology group of a manifold coincide. In particular, this yields a classification of compact symplectic surfaces in terms of De Rham cohomology. In this paper we generalize these results for volume forms admitting transversal zeroes. In this case there is also a… CONTINUE READING
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