Displaying similar documents to “Determinacy, transversality and Lagrange stability”

Systems of rays in the presence of distribution of hyperplanes

S. Janeczko (1995)

Banach Center Publications

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Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems v H on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields v H are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical...

Noether’s theorem for a fixed region

Klaus Bering (2011)

Archivum Mathematicum

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We give an elementary proof of Noether's first Theorem while stressing the magical fact that the global quasi-symmetry only needs to hold for one fixed integration region. We provide sufficient conditions for gauging a global quasi-symmetry.