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Normal vector fields on manifolds

Normal vector fields on manifolds

Introduction.Let Mn be a compact, connected, orientable, differentiable, «-dimensional manifold which is imbedded differentiably (without self intersections)in Euclidean w-space, Rm.This paper is concerned with the following question: Does there exist a continuous field of nonzero normal vectors to M"? 2. Statement of results.We will be concerned with cohomology groups having …