Canonical dynamics of relativistic charged particles
J. Śniatycki, W. M. Tulczyjew (1971)
Annales de l'I.H.P. Physique théorique
Sergio Benenti, Mauro Francaviglia (1979)
Annales de l'I.H.P. Physique théorique
J. Śniatycki, W. M. Tulczyjew (1972)
Annales de l'I.H.P. Physique théorique
Stanisław Janeczko, Zbigniew Jelonek (2009)
Fundamenta Mathematicae
Let and be compact symplectic manifolds (resp. symplectic manifolds) of dimension 2n > 2. Fix 0 < s < n (resp. 0 < k ≤ n) and assume that a diffeomorphism Φ : X → Y maps all 2s-dimensional symplectic submanifolds of X to symplectic submanifolds of Y (resp. all isotropic k-dimensional tori of X to isotropic tori of Y). We prove that in both cases Φ is a conformal symplectomorphism, i.e., there is a constant c ≠0 such that .
de León, M., Oubiña, J.A., Salgado, M. (1995)
Beiträge zur Algebra und Geometrie
Bucataru, Ioan (1997)
Balkan Journal of Geometry and its Applications (BJGA)
Enrico Massa, Enrico Pagani (1991)
Annales de l'I.H.P. Physique théorique
Dragović, Vladimir (1998)
Publications de l'Institut Mathématique. Nouvelle Série
Kudryashov, V.V., Kurochkin, Yu.A., Ovsiyuk, E.M., Red'kov, V.M. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Patrick Iglesias (1983)
Annales de l'I.H.P. Physique théorique
Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
Alan Weinstein, Christpher B. Croke (1981)
Inventiones mathematicae
V. Benci (1984)
Annales de l'I.H.P. Analyse non linéaire
M. Francaviglia, D. Krupka (1985)
Annales de l'I.H.P. Physique théorique
Smilga, Andrei V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Alessandra Cutrì, Francesca Da Lio (2007)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form in where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.
M.A. Olshanetsky, A.M. perelomov (1976)
Inventiones mathematicae
Oshima, Toshio (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Didier Robert, Bernard Helffer (1981)
Annales de l'institut Fourier
Dans cet article nous généralisons les résultats obtenus par J. Chazarain sur le spectre d’opérateurs de Schrödinger lorsque . Nous étendons ses résultats aux opérateurs pseudo-différentiels globalement elliptiques d’ordre .