Connection of the Differential-geometrical Structures with Skew-Symmetric Differential Forms. Forming Differential-geometrical Structures and Manifolds

Authors

  • L. I. Petrova Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Russia.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v7/15241D

Keywords:

Skew-symmetric form, evolutionary differential form, nonidentical relation, degenerate transformation, differential-geometrical structure

Abstract

It is shown that equations of mathematical physics can generate physical structures. From the equations of mathematical physics are obtained the closed inexact exterior form and associated closed dual form, which form a differential-geometrical structures. Such differential-geometrical structures describe the physical structures. The process of the emergence of physical structures, as shown, proceeds spontaneously under realization of any degrees of freedom.

Published

2022-01-24

How to Cite

L. I. Petrova. (2022). Connection of the Differential-geometrical Structures with Skew-Symmetric Differential Forms. Forming Differential-geometrical Structures and Manifolds. Recent Advances in Mathematical Research and Computer Science Vol. 7, 106–117. https://doi.org/10.9734/bpi/ramrcs/v7/15241D