Distance-squared mappings

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• 作者：Shunsuke Ichiki^a ; ^{ichiki-shunsuke-jb@ynu.ac.jp} ; Takashi Nishimura^b ; ^{nishimura-takashi-yx@ynu.jp}
• 关键词：57R40 ; 57R42 ; 57R45
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：15 May, 2013
• 年：2013
• 卷：160
• 期：8
• 页码：1005-1016
• 全文大小：245 K

文摘

A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. In this paper, we define naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. We investigate the properties of these mappings from the viewpoint of differential topology.