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On Parabolic and Umbilic Points of Immersed Hypersurfaces

On Parabolic and Umbilic Points of Immersed Hypersurfaces

Introduction.This paper is a natural sequel to Geometry of immersions.I and II ([1] and [2]).The object is to apply the general geometric singularity theory developed in [1] and [2] to two specific geometric singularities of an immersed n manifold in Fn+1.These applications differ from those at the end of [2] …