Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Sniatycki, Jedrzej"'
In this paper we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This yields an
Externí odkaz:
http://arxiv.org/abs/2108.00280
Autor:
Cushman, Richard, Sniatycki, Jedrzej
We show that the differential structure of the orbit space of a proper action of a Lie group on a smooth manifold is continuously reflexive. This implies that the orbit space is a differentiable space in the sense of Smith, which ensures that the orb
Externí odkaz:
http://arxiv.org/abs/1912.07472
Autor:
Cushman, Richard, Śniatycki, Jędrzej
We show that derivations of the differential structure of a subcartesian space satisfy the chain rule and have maximal integral curves.
Comment: Section on vector fields added
Comment: Section on vector fields added
Externí odkaz:
http://arxiv.org/abs/1903.10004
Autor:
Śniatycki, Jędrzej, Esen, Oğul
We show that the De Donder form for second order gravity, defined in terms of Ostrogradski's version of the Legendre transformation applied to all independent variables, is globally defined by its local coordinate descriptions. It is a natural differ
Externí odkaz:
http://arxiv.org/abs/1902.07616
Autor:
Cushman, Richard, Sniatycki, Jedrzej
In a series of papers on Bohr-Sommerfeld-Heisenberg quantization of completely integrable systems we interpreted shifting operators as quantization of functions ${\mathrm{e}}^{ \pm i{\theta}_j}$ , where $(I_j , {\theta}_j )$ are action angle coordina
Externí odkaz:
http://arxiv.org/abs/1808.04002
Autor:
Sniatycki, Jedrzej, Segev, Reuven
In this paper, we generalize De Donder approach to construct boundary forms that depend on the adapted coordinate system used. In continuum mechanics, use of boundary forms leads to splitting of the total force acting on the body into body force and
Externí odkaz:
http://arxiv.org/abs/1808.03054
Autor:
Segev, Reuven, Śniatycki, Jędrzej
For high-order continuum mechanics and classical field theories configurations are modeled as sections of general fiber bundles and generalized velocities are modeled as variations thereof. Smooth stress fields are considered and it is shown that thr
Externí odkaz:
http://arxiv.org/abs/1803.01341
Autor:
Segev, Reuven, Sniatycki, Jedrzej
Publikováno v:
Math. Mech. Compl. Sys. 6 (2018) 101-124
The paper considers the formulation of higher-order continuum mechanics on differentiable manifolds devoid of any metric or parallelism structure. For generalized velocities modeled as sections of some vector bundle, a variational kth order hyper-str
Externí odkaz:
http://arxiv.org/abs/1710.10496
Autor:
Cushman, Richard, Sniatycki, Jedrzej
This paper uses differential spaces to obtain some new results in integrable Hamiltonian systems
Externí odkaz:
http://arxiv.org/abs/1708.09816
Autor:
Cushman, Richard, Sniatycki, Jedrzej
This paper extends the Bohr-Sommerfeld quantization of the spherical pendulum to a full quantum theory. This the first application of geometric quantization to a classical system with monodromy.
Externí odkaz:
http://arxiv.org/abs/1603.00966