完备非紧黎曼流形上的射线的平行性
The Parallelism of the Rays in a Complete Noncompact Riemannian Manifold
摘要: 将欧式空间平行射线的概念推广到一般完备非紧的黎曼流形上，证明了只有符号相反的Busemann函数的完备非紧的黎曼流形具有完全平行性质。部分地回答了Wu-Chen问题。
Abstract: The paper generalizes the concept of the parallelism for the rays in Eucliden space to a general noncompact Riemannian manifold, proves that if the manifold has only two Busemann function with adverse signs, then the manifold is with complete parallel property. This conclusion answers Wu-Chen Problem partly.
文章引用：詹华税. 完备非紧黎曼流形上的射线的平行性[J]. 理论数学, 2011, 1(2): 159-162. http://dx.doi.org/10.12677/pm.2011.12031

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