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Compact integral manifolds of differential systems
ordinary differential system total differential system linear system of partial differential equations
2010/12/7
The boundedness tests for the number of compact integral manifolds of autonomous ordi-nary differential systems, of autonomous total differential systems, of linear systems of partial
differential eq...
Explicit integrable systems on two dimensional manifolds with a cubic first integral
Explicit integrable systems dimensional manifolds first integral
2010/4/2
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these mod...
BOUNDARY LOCALIZATION OF DOMAINS ON TAUT MANIFOLDS
Taut manifold equicontinuity tight manifold h-convex biholomorphism
2008/11/25
Domain characterizations on two taut manifolds are obtained by some local biholomorphism
properties.
Asymptotic Formulae for Brillouin Index on Riemannian Manifolds
flat torus Brillouin index geodesic flow topological entropy
2007/12/11
We establish several asymptotic formulae for Brillouin index on flat tori. As an application of these formulae it is proved that the topological entropy of a geodesic flow on a flat torus is zero.