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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★ 1 cited
The Gauss map on translational Riemannian manifolds and the topology of hypersurfaces
Eduardo R. Longa, Jaime B. Ripoll
We introduce the notion of translational Riemannian manifolds and define a Gauss map for orientable immersed hypersurfaces lying in these ambients, an associated translational curv…