The deformed Galilean generators are constructed on a space where both position and momentum coordinates are noncommutating operators. A dynamical model invariant under deformed phase space transformations is constructed. The Dirac brackets of this model reproduce the original non-commutative algebra. Also, the deformed generators are abstracted from this model in a consistent manner. Finally, ...

Special relativity is usually presented as an intrinsic property of space and time: any material body moves inside a unique minkowskian structure governed by Lorentz transformations. Geometry is also the startpoint of the theory of gravitation in general relativity and provides its ultimate dynamical concept. However, a look to various dynamical systems would suggest a more flexible view with t...

We introduce a new model for multiscale analysis of space-time echocardiographic sequences. The proposed nonlinear partial diierential equation, representing the multiscale analysis, lters the sequence with keeping of the space-time coherent structures. It combines the ideas of regularized Perona-Malik anisotropic diiusion and Galilean invariant movie multiscale analysis of Alvarez, Guichard, L...

In this paper, we introduce the factorable surfaces in the pseudo-Galilean space G3 and completely classify such surfaces with null Gaussian and mean curvature. Also, in a special case, we investigate the factorable surfaces which fulfill the condition that the ratio of the Gaussian curvature and the mean curvature is constant in G3.

In this paper, we study the special tube surfaces generated by rectifying curves with respect to Darboux frame in terms of geodesic curvature, normal curvature and torsion Galilean 3-space. During establish some definite results geodesics on specific help Clairaut’s theorem detail compute Gaussian mean frame. After that, considering conditions curvatures surface, give theorems for $v$-parameter...

The following three geometrical structures on a manifold are studied in detail: Leibnizian: a nonvanishing one-form V plus a Riemannian metric ^•,•& on its annhilator vector bundle. In particular, the possible dimensions of the automorphism group of a Leibnizian G-structure are characterized. Galilean: Leibnizian structure endowed with an affine connection 1 ~gauge field! which parallelizes V a...