Geometrical properties of the multidimensional nonlinear differential equations and the Finsler metrics of phase spaces of dynamical systems

DOI10.1007/BF01016138zbMath0856.53024MaRDI QIDQ1918819

Valery S. Dryuma

Publication date: 24 February 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear differential equationsCartan theoryRiemannian manifoldsFinsler metricsBerwald spacescurvature tensors

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

Darboux system and separation of variables in the Goursat problem for a third order equation in \(\mathbb{R}^3\) ⋮ The geometry of point extensions of a class of second-order differential equations ⋮ Darboux system: Liouville reduction and an explicit solution ⋮ On One Class of Solutions of the Darboux System

Cites Work

• Construction of higher-dimensional nonlinear integrable systems and of their solutions
• Unnamed Item

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