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arXiv 1305.0102math.DG
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手术中K区的不变性

Invariance of Finiteness of K-area under Surgery

Yoshiyasu Fukumoto

摘要:

K-面积是Gromov作为正数量曲率存在的障碍而引入的黎曼流形的不变量。然而,一般情况下,很难确定K-区域是否有限。尽管K区域的定义是相当自然的。在本文中,我们研究如何在手术下的不变量的变化。

英文摘要:

K-area is an invariant for Riemannian manifolds introduced by Gromov as an obstruction to the existence of positive scalar curvature. However in general it is difficult to determine whether K-area is finite or not. though the definition of K-area is quite natural. In this paper, we study how the invariant changes under surgery.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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