Comment on "The separation of variables and bifurcations of first integrals in one problem of D.N.Goryachev" by Pavel E. Ryabov (Archive:1102.2588v1)
Andrey Vladimirovich Tsiganov
Abstract
Open-access reader
Andrey Vladimirovich Tsiganov
Abstract
Open-access reader
We prove that in the Ryabov paper an application of the geometric Kharlamov method to the Goryachev system yields noncommutative "new variables of separation" instead of the standard canonical variables of separation.
OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We prove that in the Ryabov paper an application of the geometric Kharlamov method to the Goryachev system yields noncommutative "new variables of separation" instead of the standard canonical variables of separation.
Key concepts: Separation of variables, Separation (statistics), Noncommutative geometry, Mathematics, Pure mathematics, Applied mathematics, Algebra over a field, Mathematical analysis