微分流形上切向量定义的新几何解释

New Geometrical Explanation of the Definition of Tangent Vector on Differential Manifolds

给微分流形上切向量定义以明确的直观几何解释,更清晰地显示出微分流形上一点切向量的定义实际上是Euclid空间中曲面上一点处切向量定义的很自然的推广.

In this paper we give a geometricaly explicit and intuitive explanation of the definition of tangent vector on differential manifold. Here we show more dearly that this definition is actually a very natural extension of the definition of tangent vector for a point at a surface in Euclid space.