Geometric structures on solutions of equations of adiabatic gas motion

DOI10.1134/S1995080216010108zbMath1338.53048MaRDI QIDQ280866

Valerij A. Yumaguzhin

Publication date: 10 May 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

curvature tensorexplicit solutiondifferential invariantlinear connectionequations of adiabatic gas motiongeometric structurejet-bundleSpencer \(\delta\)-cohomologytorsion tensor

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50) Linear and affine connections (53B05)

Cites Work

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• On geometric structures of 2-dimensional gas dynamics equations
• On the obstruction to linearizability of second-order ordinary differential equations
• Geometric structures on solutions of equations of 3-dimensional adiabatic gas motion
• Differential invariants of second order ODEs. I
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• An algebraic model of transitive differential geometry

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