On relation between algebraic and ordinary differential algebraic invariants of motion groups

Bekbaev, Ural (2014) On relation between algebraic and ordinary differential algebraic invariants of motion groups. Lobachevskii Journal of Mathematics, 35 (3). pp. 172-184. ISSN 1995-0802 (P), 1818-9962 (O)

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Abstract

As applied to differential geometry it provides a method to describe differential algebraic $H$-invariants of paths by the use of algebraic $H$-invariants, where $H$ is any subgroup of the affine group. It is shown also that a generating system of differential $H$-invariants of curves can be derived from given system of differential $H$-invariants of paths. All relations among members of the obtained generating system can be predicted as well.

Item Type:	Article (Journal)
Additional Information:	6830/37997
Uncontrolled Keywords:	Differential field, differential algebraic invariant, affine group, path, curve
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Associate Prof. Ural Bekbaev
Date Deposited:	03 Sep 2014 16:42
Last Modified:	19 Mar 2015 14:57
URI:	http://irep.iium.edu.my/id/eprint/37997

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