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math.DG2016
Topological invariants for closed hypersurfaces
Ícaro Gonçalves, Eduardo Longa
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 a…
math.DG2016
Degree of the Gauss map and curvature integrals for closed hypersurfaces
Fabiano G. B. Brito, Icaro Gonçalves
Given a unit vector field on a closed Euclidean hypersurface, we define a map from the hypersurface to a sphere in the Euclidean space. This application allows us to exhibit a list…