d-objects kinematics on smooth manifolds
High Energy Physics - Theory
2007-05-23 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The kinematical part of general theory of deformational structures on smooth manifolds is developed. We introduce general concept of d-objects deformation, then within the set of all such deformations we develop some special algebra and investigate group and homotopical properties of the set. In case of proper deformations some propositions, generalizing isometry theory on Riemannian manifolds are formulated.
Cite
@article{arxiv.hep-th/0201014,
title = {d-objects kinematics on smooth manifolds},
author = {Sergey S. Kokarev},
journal= {arXiv preprint arXiv:hep-th/0201014},
year = {2007}
}
Comments
This is shortened variant of talk, given at the 5-th ICGA conference (Russia,Moscow, October 2001). To be published in special issue of Gravitation and Cosmology. Latex 2e, 5 pages