대한수학회논문집(Communications of the Korean Mathematical Society), 2013, 28(1), P.183-189, 7P.
Abstract
Let W be a parallelizable compact oriented manifold of dimension with boundary . We define the so-called Gauss map using a framing of TW and show that the degree of is equal to Euler-Poincar number , regardless of the specific framing. As a special case, we get a Hopf theorem.