Transversalities for Lagrange singularities of isotropic mappings of corank one
Goo Ishikawa (1996)
Banach Center Publications
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Goo Ishikawa (1996)
Banach Center Publications
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Popescu, Marcela, Popescu, Paul (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Casciaro, Biagio C., Konderak, Jerzy J. (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Takashi Nishimura (1999)
Banach Center Publications
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S. Janeczko (1995)
Banach Center Publications
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Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems 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 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...
Sergey Stanchenko (1996)
Banach Center Publications
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Aleksey Davydov (1995)
Banach Center Publications
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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.
Jerzy Nowak (1999)
Fundamenta Mathematicae
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Mormul, Piotr (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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