Open Access
VOL. 6 | 2005 Connections Associated with Linear Distributions
Chapter Author(s) Marina Grebenyuk
Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld
Geom. Integrability & Quantization, 2005: 218-230 (2005) DOI: 10.7546/giq-6-2005-218-230

Abstract

This paper applies differential geometry to multi-dimensional affine space. The three-component distributions of affine space are discussed. Some connections of three-component distributions, which allow to generalize theory of regular and vanishing hyper-zones, zones, hyper-zone distributions, surfaces of full and non-full rank, and tangent equipped surfaces in multidimensional affine spaces are constructed.

Information

Published: 1 January 2005
First available in Project Euclid: 12 June 2015

zbMATH: 1081.53017
MathSciNet: MR2161768

Digital Object Identifier: 10.7546/giq-6-2005-218-230

Rights: Copyright © 2005 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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