ON TOPOLOGICAL AND PIECEWISE LINEAR VECTOR FIELDS-t
نویسنده
چکیده
INTRODUCTION THE existence of a non-zero vector field on a differentiable manifold M yields geometric and algebraic information about M. For example, (I) A non-zero vector field exists on M if and only if the tangent bundle of M splits off a trivial bundle. (2) The kth Stiefel-Whitney class W,(M) of M is the primary obstruction to obtaining (n -k + I) linearly independent non-zero vector fields on M [37; 0391. In particular, a non-zero vector field exists on a compact manifold M if and only if X(M), the Euler characteristic of M, is
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تاریخ انتشار 2001