Topological invariants for closed hypersurfaces
Differential Geometry
2017-12-01 v2
Abstract
We consider closed and orientable immersed hypersurfaces of translational manifolds. Given a vector field on such a hypersurface, we define a perturbation of its Gauss map, which allows us to obtain topological invariants for the immersion that depends on the geometry of the manifold and the ambient space. We use these quantities to find obstructions to the existence of certain codimension one foliations.
Cite
@article{arxiv.1611.01877,
title = {Topological invariants for closed hypersurfaces},
author = {Ícaro Gonçalves and Eduardo Longa},
journal= {arXiv preprint arXiv:1611.01877},
year = {2017}
}
Comments
6 pages