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Analysis of the equations of mathematical physics and foundations of field theories with the help of skew-symmetric differential forms
L. I. Petrova
In the paper it is shown that, even without a knowledge of the concrete form of the equations of mathematical physics and field theories, with the help of skew-symmetric differenti…
Role of exterior and evolutionary skew-symmetric differential forms in mathematical physics
L. I. Petrova
A role of skew-symmetric differential forms in mathematical physics relates to the fact that they reflect the properties of conservation laws. The closed exterior forms correspond…
Evolutionary forms: The generation of differential-geometrical structures. (Symmetries and Conservation laws.)
L. I. Petrova
Evolutionary forms, as well as exterior forms, are skew-symmetric differential forms. But in contrast to the exterior forms, the basis of evolutionary forms is deforming manifolds…
Evolutionary forms: Conservation laws and causality
L. I. Petrova
Evolutionary forms are skew-symmetric differential forms the basis of which, as opposed to exterior forms, are deforming manifolds (with unclosed metric forms). Such differential f…
Qualitative investigation of Hamiltonian systems by application of skew-symmetric differential forms
L. I. Petrova
A great number of works is devoted to qualitative investigation of Hamiltonian systems. One of tools of such investigation is the method of skew-symmetric differential forms. In pr…