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8 pages, 300 KB  
Article
A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra
by Marek Jukl
Mathematics 2019, 7(8), 702; https://doi.org/10.3390/math7080702 - 3 Aug 2019
Cited by 1 | Viewed by 2649
Abstract
This article is devoted to the projective Klingenberg spaces over a local ring, which is a linear algebra generated by one nilpotent element. In this case, subspaces of such Klingenberg spaces are described. The notion of the “degree of neighborhood” is introduced. Using [...] Read more.
This article is devoted to the projective Klingenberg spaces over a local ring, which is a linear algebra generated by one nilpotent element. In this case, subspaces of such Klingenberg spaces are described. The notion of the “degree of neighborhood” is introduced. Using this, we present the geometric description of subsets of points of a projective Klingenberg space whose arithmetical representatives need not belong to a free submodule. Full article
(This article belongs to the Special Issue Differential Geometry of Special Mappings)
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