流形上函数积分的绝对连续性

The Absolute Continuity of Integral on Manifold

证明了紧Riemann流形上的Riemann可积函数的积分具有绝对连续性。

In this paper, the absolute continuity of integral of Riemannian integrable function on compact Riemannian manifold is proved, which in turn generalizes the absolute continuity theorem on integral of Riemannian integrable function in closed interval.