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Affine Differential Invariants of Curves


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  • Product Description

The theory of curves had been developed extensively for plane and space. In this spaces, the equivalence problem of curves had been solved by locally. But this hadn’t been solved by globally. Consequently, investigation of equivalence problem in global aspect is very important. When curves have singular points, differential invariants obtained Frenet formulas are not enough in investigation of equivalence problem. Because of this, the investigation problem of all polinom and rational function of differential invariants of curves comes out. In this study, the G-equivalence problem of parametric curves for groups G=SL(n;R), GL(n;R), SAff(n;R), Aff(n;R) is solved globally. In here, first for groups giving up, the generators of G-invariant differential polinomials ring and G-invariant rational functions field are researched. Then by using these generators the solution of equivalence problem are done. Finally, it is shown that these generators are differential independent.

Product Specifications
SKU :COC24843
AuthorYasemin Sa??ro?lu
Number of Pages128
Publishing Year2012-04-07T00:00:00.000
Edition1 st
Book TypeGeometry
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00