The contact property for symplectic magnetic fields on
نویسندگان
چکیده
منابع مشابه
On Contact and Symplectic Lie Algeroids
In this paper, we will study compatible triples on Lie algebroids. Using a suitable decomposition for a Lie algebroid, we construct an integrable generalized distribution on the base manifold. As a result, the symplectic form on the Lie algebroid induces a symplectic form on each integral submanifold of the distribution. The induced Poisson structure on the base manifold can be represented by m...
متن کاملOn Symplectic and Contact Groupoids
This paper deals with Lie groupoids, in particular symplectic and contact groupoids. We formulate a deenition of contact groupoids; we give examples and a counterexample (groupoid with a contact form which is not a contact groupoid). The theory of diierentiable groupoids (called now Lie groupoids) has been introduced by C. Ehresmann E] in 1950 in his paper on connections (where he deened the gr...
متن کاملThe effect of magnetic field on the magnetic property of Agar/Fe3O4 nanocomposite
Agar/Fe3O4 nanocomposites were synthesized in the presence of an external magnetic field (~ 0.4 Tesla) and their characteristics were compared with the samples synthesized without considering the external magnetic field. In this study we used Fe2+ and Fe3+ for synthesizing Fe3O4 magnetic nanoparticles in the presence of agar as polymeric additive, by co-precipitation technique. Vibrating sample...
متن کاملStability Theorems for Symplectic and Contact Pairs
We prove Gray–Moser stability theorems for complementary pairs of forms of constant class defining symplectic pairs, contact-symplectic pairs and contact pairs. We also consider the case of contact-symplectic and contact-contact structures, in which the constant class condition on a oneform is replaced by the condition that its kernel hyperplane distribution have constant class in the sense of ...
متن کاملSymplectic Dirac-Kähler Fields
For the description of space-time fermions, Dirac-Kähler fields (inhomogeneous differential forms) provide an interesting alternative to the Dirac spinor fields. In this paper we develop a similar concept within the symplectic geometry of phase-spaces. Rather than on space-time, symplectic Dirac-Kähler fields can be defined on the classical phasespace of any Hamiltonian system. They are equival...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2014
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2014.82