@misc{10481/64641,
year = {2010},
url = {http://hdl.handle.net/10481/64641},
abstract = {The topological and differentiable structures of some natural quotient spaces constructed
from flat Riemannian tori are studied by means of a cut-and-paste procedure (concretely,
Hn(Gl+(2;R)=Sl(2;Z)), where H = O+(2;R), CO+(2;R), O(2;R), CO(2;R)). In
the orientation preserving cases, the quotients can be regarded as manifolds with singular
points corresponding to lattices in the square and hexagonal crystal systems. In the
non-orientation preserving ones, the natural structure is a smooth manifold with piecewise
smooth boundary, where the interior points correspond to oblique lattices, the regular points
of the boundary to rectangular and centered rectangular lattices and the edge of the boundary
to square and hexagonal ones.},
organization = {The author acknowledges deeply the encouragement and support by
Professor Miguel S´anchez from the University of Granada, as well as by
the MCyT-FEDER research project MTM2007-60731},
keywords = {Lattices},
keywords = {Flat Rimannian Tori},
title = {Lattices and manifolds of classes of flat tori},
author = {Ramírez Uclés, Rafael},
}