Abstract:Abstract. The double curves of least area immersions of the torus into closed, orientable, irreducible 3-manifolds are simple in the torus. A related result for other least area surfaces is given.If f : F → M is a general position immersion of a surface into a 3-dimensional manifold, then the set of points where f (F ) fails to be an embedding consists of a finite collection of double curves and triple points. The preimages of these curves in F , also known as double curves, may not be simple or disjoint (they… Show more
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