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

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...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2014-07, Vol.35 (3), p.172-184
Main Author: Bekbaev, U.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Summary: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 systemof differential H -invariants of paths. All relations among members of the obtained generating system can be predicted as well.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080214030044