12 citations · 16 across the 7 of their papers we have counts for
8 papers
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…
Identical and Nonidentical Relations. Nondegenerate and Degenerate Transformations. (Properties of skew-symmetric differential forms)
L. I. Petrova
Identical relations occur in various branches of mathematics and mathematical physics. The Cauchy-Riemann relations, characteristical and canonical relations, the Bianchi identitie…
Invariant and evolutionary properties of the skew-symmetric differential forms
L. I. Petrova
The present work pursues the aim to draw attention to unique possibilities of the skew-symmetric differential forms. At present the theory of skew-symmetric exterior differential f…
The effect of noncommutativity of the conservation laws on the development of thermodynamical and gas dynamical instability (The method of skew-symmetric differential forms)
L. I. Petrova
In the works by the author it has been shown that the conservation laws for material media (the conservation laws for energy, linear momentum, angular momentum, and mass, that esta…
Approaches to general field theory (The method of skew-symmetric differential forms)
L. I. Petrova
The basis for the field theory are properties of the closed exterior differential forms (skew-symmetric differential forms defined on manifolds with the closed metric forms), which…