Philippe Kocian

  • Citations Per Year
Learn More
In this paper we calculate the emission of gravity waves by the binary pulsar in the framework of five dimensional spacetime. We consider only spacetimes with one compact extra-dimension. We show that the presence of additional degrees of freedom, especially the ’gravi-scalar’ leads to a modification of Einstein’s quadrupole formula. We compute the induced(More)
It is shown that the Euclidean group of translations, when treated as a Lie group, generates translations not only in Euclidean space but on any space, curved or not. Translations are then not necessarily vectors (straight lines); they can be any curve compatible with the parameterization of the considered space. In particular, attention is drawn to the(More)
An equivalence relation on the tangent bundle of a manifold is defined in order to extend a structure (modulated or not) onto it. This extension affords a representation of a structure in any tangent space and that in another tangent space can easily be derived. Euclidean symmetry operations associated with the tangent bundle are generalized and their(More)
Differential geometry provides a useful mathematical framework for describing the fundamental concepts in crystallography. The notions of point and associated vector spaces correspond to those of manifold and tangent space at a given point. A space-group operation is a one-to-one map acting on the manifold, whereas a point-group operation is a linear map(More)
  • 1