Global decomposition of vector field on Riemannian manifolds along natural coordinates

DOI10.1016/S0034-4877(09)00002-0zbMath1168.53315WikidataQ115339934 ScholiaQ115339934MaRDI QIDQ1006591

J. Martínez

Publication date: 25 March 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

curvatureexponential mapcut locusgeodesicentropy productionconjugate pointthermodynamic forcedissipative functiongyroscopic force

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Global Riemannian geometry, including pinching (53C20) Thermodynamics and heat transfer (80A99)

Related Items (3)

Some elliptic problems with singular nonlinearity and advection for Riemannian manifolds ⋮ Towards a canonical divergence within information geometry ⋮ A global geometric decomposition of vector fields and applications to topological conjugacy

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Non-local decomposition of vector fields
• On manifolds admitting continuous foliations by geodesics
• Dissipative-Hamiltonian decomposition of smooth vector fields based on symmetries
• Morse Theory. (AM-51)
• Sign and geometric meaning of curvature
• Nonlinear Dynamical Systems and Decompositions of Vector Fields

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