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Nonnegatively curved ends of Euclidean hypersurfaces

✍ Scribed by Stephanie B. Alexander; Robert J. Currier


Publisher
Springer
Year
1991
Tongue
English
Weight
856 KB
Volume
40
Category
Article
ISSN
0046-5755

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✦ Synopsis


The structure of the ends of immersed Euclidean hypersurfaces is described, assuming curvature positive outside a compact subset, or curvature nonnegative and nullity of the second fundamental form at most one outside a compact subset. Examples show the results are optimal.


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On the nonnegative rank of Euclidean dis
✍ Matthew M. Lin; Moody T. Chu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 167 KB

The Euclidean distance matrix for distinct points in ℝ is generically of rank + 2. It is shown in this paper via a geometric argument that its nonnegative rank for the case = 1 is generically .