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 derive...
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| Format: | Article |
| Language: | English |
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Pleiades Publishing, Ltd.
2014
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| Online Access: | http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/1/LOJM172.pdf |
| 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 system of differential $H$-invariants of paths. All relations among members of the obtained generating system can be predicted as well. |
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