6 citations · 24 across the 17 of their papers we have counts for
23 papers
Vector fields and differential forms on the orbit space of a proper action
Larry Bates, Richard Cushman, Jędrzej Śniatycki
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 gene…
Differentiable spaces that are subcartesian
Richard Cushman, Jedrzej Sniatycki
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…
On subcartesian spaces Leibniz' rule implies the chain rule
Richard Cushman, Jędrzej Śniatycki
We show that derivations of the differential structure of a subcartesian space satisfy the chain rule and have maximal integral curves.
De Donder Construction for Higher Jets
Jedrzej Sniatycki, Reuven Segev
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 t…
Shifting operators in geometric quantization
Richard Cushman, Jedrzej Sniatycki
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…
Hyper-Stresses in -Jet Field Theories
Reuven Segev, Jędrzej Śniatycki
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…