Extension of the unit normal vector field from a hypersurface

Published 14 Feb 2018 in math.DG | (1802.05560v1)

Abstract: It is important in many applications to be able to extend the (outer) unit normal vector field from a hypersurface to its neighborhood in such a way that the result is a unit gradient field. The aim of the paper is to provide an elementary proof of the existence and uniqueness of such an extension.

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