山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (4): 1-6.doi: 10.6040/j.issn.1671-9352.0.2017.480
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陈爱云1,薛琼1*,陈欢欢1,肖小峰2
CHEN Ai-yun1, XUE Qiong1*, CHEN Huan-huan1, XIAO Xiao-feng2
摘要： 研究了一类具有渐近非负Ricci曲率完备非紧的n维黎曼流形,利用推广的Excess函数和Busemann函数,证明了具有渐近非负Ricci曲率完备非紧的n维黎曼流形在kp(r)≥-C/((1+r)α)和大体积增长的条件下具有有限拓扑型,从而推广了已有的一系列结果。
中图分类号:
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