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Title: Equipping distributions for linear distribution (English)
Author: Grebenyuk, Marina F.
Author: Mikeš, Josef
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 46
Issue: 1
Year: 2007
Pages: 35-42
Summary lang: English
Category: math
Summary: In this paper there are discussed the three-component distributions of affine space $A_{n+1}$. Functions $\lbrace \mathcal{M}^\sigma \rbrace $, which are introduced in the neighborhood of the second order, determine the normal of the first kind of $\mathcal{H}$-distribution in every center of $\mathcal{H}$-distribution. There are discussed too normals $\lbrace \mathcal{Z}^\sigma \rbrace $ and quasi-tensor of the second order $\lbrace \mathcal{S}^\sigma \rbrace $. In the same way bunches of the projective normals of the first kind of the $\mathcal{M}$-distributions were determined in the differential neighborhood of the second and third order. (English)
Keyword: equipping distributions
Keyword: linear distribution
Keyword: affine space
MSC: 53A15
MSC: 53A45
MSC: 53B05
idZBL: Zbl 1165.53010
idMR: MR2387491
Date available: 2009-08-27T10:16:25Z
Last updated: 2012-05-04
Stable URL:
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