Seminar talk, 25 February 2015
Speaker: Valery Yumaguzhin
Title: Differential invariants on solutions of equations of adiabatic gas motion
The talk will discuss the system of equations of adiabatic gas motion in -dimensional space, .
Characteristic covectors of this system generate a geometric structure on every solution of this system. This structure consists of a hyperplane and a non degenerate cone in every cotangent space to a solution. These hyperplane and cone intersect in zero point only.
We construct differential invariants of this structure: a vector field, a metric, and a linear connection with torsion in general position.
In the case of polytropic gas motion, we calculate classes of explicit solutions possessing the linear connection with zero torsion.
Slides: Yumaguzhin V. Differential invariants on solutions of equations of adiabatic gas motion (presentation at the Krasil'shchik's IUM Seminar, 25 February 2015).pdf